A polygon with seven sides is called a heptagon. A polygon is a closed geometric shape that has at least three sides and angles. Polygons consist of adjoining line segments and are...How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!What is an interior angle of a regular polygon having 90 diagonals showing key stages of work? It must have 15 sides to comply with the formula:- 0.5*(152-(3*15)) = 90 diagonals So: 360/15 = 24 degrees and 180-24 = 156 degrees Therefore: each interior angle measures 156 degreesHow many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!Best Answer. Copy. You can find the number of diagonals in a polygon using the formula n (n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals. Wiki User. ∙ 9y ago.The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. A regular polygon has n sides. Then the number of pairs of parallel sides of the polygon will be . IF n is odd, then none of the sides are parallel. If n is even, then the number of pair of ...Nonagon, 9 sided polygon has nine 140 degree interior angles. triangles, 3 sided polygons have 180 degrees. rectangles, 4 sided polygons have 360 degrees. 5 or more sided polygons have greater than 360 degrees. there are no polygons with just 140 degrees. You might say 2 coinciding lines are a degenerate polygon with 2 sides and 0 …The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.If the ratio of interior to exterior angle of a regular polygon is 5:1, how many sides does the polygon have? View Solution. Q2. Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10.Jun 27, 2016 · A triangle with three sides is an illustration of a polygon. Given the sum of the interior angles of a polygon = 9360° so sum of the interior angles of a polygon = (n - 2) x 180° where n = number of sides (n - 2) x 180° = 9360° divide both sides by 180. n - 2 = 9360/180. n - 2 = 52. n = 52 + 2. n = 54. Hence there are 54 sides in the polygon. Jan 11, 2016 · 24 The exterior angles of a polygon always add up to 360 degrees. Given this a regular polygon, all the angles are equal and all the sides are equal. The number of sides is therefore 360/15 = 24 1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …22 Sept 2016 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ...Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...A polygon has the same number of interior angles as it does sides. Figure \(\PageIndex{1}\) The sum of the interior angles in a polygon depends on the number of …A polygon has 27 diagonals. Find the number of sides. 1)A polygon has 27 diagonals. How many sides does it have? A polygon has 35 diagonals. The number of sides of polygon is. A convex polygon has 44 diagonals. Find the number of sides of polygon. A polygon has 35 diagonals.6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...A polygon with 14 sides can have at most 14 lines of symmetry. This would occur if the polygon was a regular polygon (i.e. all its sides would have to be equal and all its angles would have to be equal). The lines of symmetry would run between the midpoints of opposite sides and between opposite vertices.25 Oct 2016 ... If the exterior angle is 18° there are 20 sides. It is impossible for a regular polygon to have interior angles of 18°.1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... Solution. Verified by Toppr. A polygon has as many angles as sides. Like, triangle has 3 angles and 3 sides. Pentagon has 5 sides and 5 angles. Similarly, a decagon is a polygon which has 10 sides and thus, has 10 angles. Hence, option D is correct.Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ...Mar 16, 2020 · In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices. The polygon has 5 sides. Therefore, the total sides of the polygon is 5, the polygon with 5 sides is known as pentagon. Advertisement Advertisement 1Angel25 1Angel25 Ur question's solution is on the pic⏫⏫.. Advertisement Advertisement New questions in Math. 36. Beti bachao,Beti padhao is a personal compaign of Government …In order to find the value of the interior angle of a regular polygon the equation is ((n-2)180)/n where n is the number of sides of the regular polygon. Given that the interior angle is 170^o we can plug in the value into the formula 170 = ((n-2)180)/n 170n = 180n-360 -10n = -360 n = 36 Therefore the polygon has 36 sides.A circle is a regular polygon of infinite number of sides. Consider 10000 sides of a regular polygon. Each exterior angle will be 360/10000 = 0.036 deg. It may insignificant for viewing, nevertheless it is an angle. Watch on.65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …If the sum of interior angles of a polygon is 1080°, then the polygon has ____ sides. View Solution. Q4. If each interior angle of a regular polygon is 150°, then the polygon has ___ sides. View Solution. Q5. How many sides does a regular polygon has if each of it's interior angle is 120 ...20 Jul 2023 ... Class 8 Maths I Chapter 3I Exercise 3.2 I Question 3 I Understanding Quadrilaterals I NCERT I CBSEI @brainosolutions.A pyramid is a polyhedron that may be formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form an isosceles triangle, called a lateral face. [3] The edges connected from the polygonal base's vertices to the apex are called lateral edges. [4] Historically, the definition of a pyramid has been described by ...The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = …Jan 11, 2016 · 24 The exterior angles of a polygon always add up to 360 degrees. Given this a regular polygon, all the angles are equal and all the sides are equal. The number of sides is therefore 360/15 = 24 25 Jun 2022 ... |How many sides does a regular polygon have if each of its interior angle a 165°| #understandingquad. maths with aarna•3.6K views · 2:15.6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? The ratio between the exterior angle and interior angle of a regular polygon is 1: 4. Find the number of sides in the polygon. Find the number of sides in the polygon. View SolutionThe correct option is D12Each interior angle of the polygon= 150∘Each exterior angle of the polygon(180∘−150∘)= 30∘∴ Number of sides of this polygon = 360° 30° = 12Hence, Number of sides = 12. Suggest Corrections. 147.Feb 18, 2016 · The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = 171^o(n) 180n - 360 = 171n -360 = 171n-180n -360 = -9n -360/-9 ... AboutTranscript. To find the interior angle sum of a polygon, we can use a formula: interior angle sum = (n - 2) x 180°, where n is the number of sides. For example, a pentagon has 5 sides, so its interior angle sum is (5 - 2) x 180° = 3 x 180° = 540°. Created by Sal Khan.360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n …Nov 8, 2016 · The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have? 14 16 18 20 2 Apr 2019 ... How many sides does a regular polygon have if each of its interior angles is 165°? Murali April 2, 2019, 5:37am 2.Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. You can put this solution on YOUR website! the sum of the interior angles is 2700 degrees. the sum of the interior angles of a polygon is given by the equation: s = (n-2)*180 where: s = the sum of the interior angles. n = the number of sides of the polygon. given that s = 2700, this equation becomes: 2700 = (n-2)*180.Regular heptagon. A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128 4 ⁄ 7 degrees).Its Schläfli symbol is {7}.. Area. The area (A) of a regular heptagon of side length a is given by: = . This can be seen by subdividing the unit-sided heptagon into seven triangular "pie slices" with vertices at the center and …If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have? Geometry. 1 Answer Cesareo R. Aug 26, 2016 #n = 10# ... It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11 If each exterior angle measures 10°, how many sides does this polygon have? a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?-----Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n 160n = 180n - 360-20n = -3603 May 2021 ... the number of sides of a regular polygon given the exterior angle. To do this divide 360 by the number of sides. If you have the interior ...Oct 10, 2023 · A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...Nonagon, 9 sided polygon has nine 140 degree interior angles. triangles, 3 sided polygons have 180 degrees. rectangles, 4 sided polygons have 360 degrees. 5 or more sided polygons have greater than 360 degrees. there are no polygons with just 140 degrees. You might say 2 coinciding lines are a degenerate polygon with 2 sides and 0 …Jun 15, 2022 · The sum of the interior angles of a polygon is \(4320^{\circ}\). How many sides does the polygon have? The sum of the interior angles of a polygon is \(3240^{\circ}\). How many sides does the polygon have? What is the measure of each angle in a regular 16-gon? What is the measure of each angle in an equiangular 24-gon? if you mean the sum of the interior angles, then it is 8640. the formula you use to find the sum of the interior angles of a polygon is (n-2)180, n being the number of sides. in this problem, you would plug in 50 for n, so 50-2=48, and 48x180=8640.Each exterior angle of a regular polygon measures 30 degrees How many sides does the polygon have? A regular polygon has equal angles and sides. Therefore, consider 0 degrees as a starting direction. At every corner, you turn 30 degrees to the left, until you end up back where you started. A full rotation is 360 degrees. Divide by 30, and …Learn how to find the number of sides in a polygon in this free math video tutorial by Mario's Math Tutoring. We go through 2 examples: 1 with the sum of th...By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of an n sided polygon taken two at a time. Out of these lines, n lines are the sides of the polygon. Therefore, Number of diagonals of the polygon = n ( n − 1) 2 − n = n ( n − 3) 2.Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.A pyramid is a polyhedron that may be formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form an isosceles triangle, called a lateral face. [3] The edges connected from the polygonal base's vertices to the apex are called lateral edges. [4] Historically, the definition of a pyramid has been described by ...Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.Nov 21, 2023 · Polygons aren't limited to the common ones we know but can get pretty complex and have as many sides as are needed. They can have 4 sides, 44 sides, or even 444 sides. Polygon is just a fancy word for a planar (flat/two-dimensional) shape with straight sides. Triangles and squares are polygons, but circles and ovals are not. The …The Polygon angle theorem states that the sum of all interior angles is equal 180(n-2), where n is the number of sides, which is also equal to the number of interior angles. Therefore, knowing the measure of of one interior angle (150 per problem definition), the sum of all interior angles could be written as 150n.How many Sides does a polygon have with 175.2 degree angles? Updated: 4/28/2022. Wiki User. ∙ 11y ago. Study now. See answer (1) Best Answer. Copy. If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides. Wiki User. ∙ 11y ago. This answer is:A polygon has 27 diagonals. Find the number of sides. 1)A polygon has 27 diagonals. How many sides does it have? A polygon has 35 diagonals. The number of sides of polygon is. A convex polygon has 44 diagonals. Find the number of sides of polygon. A polygon has 35 diagonals.How many sides does a polygon have with 1620 degrees? An 11 sided polygon has interior angles that add up to 1620 degrees. How many sides would a polygon have if the measure of the interior angles is 1620 degrees? It will have 11 sides.If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Suryin =) Dec 19, 2015 the polygon is *heptagon (7-sided polygon) Explanation: Sum of interior ...a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?-----Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n 160n = 180n - 360-20n = -36022 Sept 2016 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...an octagon is a polygon. an octagon has 8 sides. a polygon is a shape with closed sides. If the sum of the interior angle measures of a polygon is 1440 how many sides does the polygon have? The polygon would have 10 sides.A convex polygon has 44 diagonals. Hwo many sides does it have? ... Question 13 A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is a) 4 b) 5 c) 7 d) 10. View Solution. Q5. A convex polygon has 44 diagonals , find no of sides.18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can …5 Feb 2022 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon. For …A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles of a dodecagon are #30^@#, so they sum to #12xx30^@ = 360^@# The interior angles ...Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? ... (Show Source):. 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28 Oct 2020 ... 2 Answers By Expert Tutors ... The total number of degrees of the interior angles is given by (n-1)*180. ... n = 23 Your polygon has 23 sides.. Wait a minute gif
silvercrest manufactured homesApr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. Jun 26, 201925 Oct 2017 ... Therefore, this polygon has 36 sides. TheXSquaredFactor Oct 25, 2017. 1 ...Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles of a dodecagon are #30^@#, so they sum to #12xx30^@ = 360^@# The interior angles ...Feb 18, 2016 · The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = 171^o(n) 180n - 360 = 171n -360 = 171n-180n -360 = -9n -360/-9 ... 15 " sides" with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360^o one exterior angle =180-one interior angle :." one ext.< "=180-156=24^o no of sides =360/24=15sidesA convex polygon has 44 diagonals. Hwo many sides does it have? Hwo many sides does it have? (clue : No. of diagonals in a covex polygon = n ( n − 3 ) / 2 ; where n = sides in the polygon)How many sides does the polygon have? Explain. Interior Angles of a Polygon: Between two complementary angles add up to 90 degrees. On the other hand, the total degrees between two supplementary angles is 180 degrees. To add angles we use the formula {eq}S=(n-2) \times 180^{\circ} {/eq}. From here we get the number of sides of the …23,984 We can observe different types of polygons in our daily existence and we might be using them knowingly or unknowingly. In this article, you will learn the meaning and definition of a polygon, types of a polygon, …How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!The key is to recognise that the paper’s edge forms a quadrilateral with the shown part of the polygon. Since the two angles that aren’t part of the polygon add up to 80 o , and a quadrilateral’s angles add up to 360 o , you can conclude that the polygon angles add up to 280 o , and therefore each angle in the polygon is 140 o .In order to find the value of the interior angle of a regular polygon the equation is ((n-2)180)/n where n is the number of sides of the regular polygon. Given that the interior angle is 170^o we can plug in the value into the formula 170 = ((n-2)180)/n 170n = 180n-360 -10n = -360 n = 36 Therefore the polygon has 36 sides.65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Diagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). ... Sample Problems on Diagonals of a Polygon. Problem 1: How many diagonals does a hexagon have, find using the …Answer: 20 sides. Work Shown: E = exterior angle = 18 degrees. n = number of sides of a regular polygon. n = 360/E. n = 360/18. n = 20. This is a 20 sided regular polygon.It is considered a regular icosagon.Dec 13, 2016 · 18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. n = (360°)/(20°) =18 ... The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.Best Answer. Copy. 48 sides. A formula for finding the number of sides of a regular polygon given an interior angle: 360/ (180-angle)=sides. Wiki User.If the ratio of interior to exterior angle of a regular polygon is 5:1, how many sides does the polygon have? View Solution. Q2. Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10.Oct 25, 2016 · If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360 ÷ n = θ. Interior angle 168° → exterior angle = 180° −168° = 12°. 360 ÷ 12° = 30 sides. Answer link. 360 div 12° = 30 sides The only number that stays the same for the angles of all polygons is that the sum of the exterior ... Diagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). ... Sample Problems on Diagonals of a Polygon. Problem 1: How many diagonals does a hexagon have, find using the …How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 122.What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides) has 5 Lines of Symmetry. A Regular Hexagon (6 sides) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)Feb 25, 2018 · 6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore Polygon has 6 sides A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides. Square - 4 Sides. Pentagon - 5 Sides. Hexagon - 6 sides. Heptagon - 7 Sides. Octagon - 8 Sides. Nonagon - 9 Sides. Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …How many sides does the polygon have? Found 3 solutions by solver91311, MathLover1, Alan3354: Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website! The measure in degrees of an interior angle of a regular polygon is given by . Given that the measure is 150°, we can say:How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle? Providing that it is a regular polygon it will have 8 sides. If a regular polygon has an interior angle of 157.5 degrees how many sides does?Regular heptagon. A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128 4 ⁄ 7 degrees).Its Schläfli symbol is {7}.. Area. The area (A) of a regular heptagon of side length a is given by: = . This can be seen by subdividing the unit-sided heptagon into seven triangular "pie slices" with vertices at the center and …The number of sides is the same as the number of vertices. Answer link. 40 If the interior angle is 171^@ then the exterior angle is 180^@-171^@ = 9^@. The total of the exterior angles is 360^@, so the number of vertices must be 360^@/9^@ = 40. The number of sides is the same as the number of vertices.Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides. It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.How many sides does the polygon have? Explain. Interior Angles of a Polygon: Between two complementary angles add up to 90 degrees. On the other hand, the total degrees between two supplementary angles is 180 degrees. To add angles we use the formula {eq}S=(n-2) \times 180^{\circ} {/eq}. From here we get the number of sides of the …A pyramid is a polyhedron that may be formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form an isosceles triangle, called a lateral face. [3] The edges connected from the polygonal base's vertices to the apex are called lateral edges. [4] Historically, the definition of a pyramid has been described by ...The ratio between the exterior angle and interior angle of a regular polygon is 1: 4. Find the number of sides in the polygon. Find the number of sides in the polygon. View SolutionA regular polygon has 5 times as many diagonals as it has sides. How many vertices does the polygon have? The total number of sides in two regular polygons is 13, and the total number of diagonals is 25. How many sides are in each polygon?Regular polygon. In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew. Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. Mar 16, 2018 · If an interior angle of a regular polygon measures 144 degrees how many sides does it have ? Geometry. 1 Answer Mahek ☮ Mar 16, 2018 #color ... If the ratio of interior to exterior angle of a regular polygon is 5:1, how many sides does the polygon have? View Solution. Q2. Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10.A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have? That polygon has 9 sides ( 9-2) * 180 = 1260 ( 3 * 120 ) + ( 6 * 150 ) = 1260A triangle is a three-sided polygon, and a quadrilateral is a four-sided polygon. Quadrilaterals have several variations, such as parallelograms , trapezoids , …How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle? Providing that it is a regular polygon it will have 8 sides. If a regular polygon has an interior angle of 157.5 degrees how many sides does?Apr 11, 2017 · If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? Geometry. 1 Answer CW ... Hence, the polygon has 32 sides. We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. The number of sides in a polygon can vary, and different polygons have different shapes and side lengths. For example, a triangle has three sides, a quadrilateral has four …Jun 12, 2016 · Since the figure with angles measuring #0˚# is 1 lines, then the figure with interior angles of #720˚# has #1 + 5 = 6# sides. Practice exercises: The interior angles of a polygon add up to #3960˚#. How many sides does this polygon have? Hopefully this helps, and good luck! How Many Sides Does a Regular Polygon Have (With Examples) ... As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any ...65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.18 Jun 2014 ... Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.Answer – A regular polygon with each interior angle measuring 165° has 24 sides. Let’s assume that the number of sides of the given regular polygon is n. Then, the number of interior angles = the number of sides = n. Further, the sum of the interior angles = the measure of each interior angle the number of sides. We also know that the sum ...Expand each binomial. (x^5 + 2y)^7 (x5 +2y)7. 1 / 4. Find step-by-step Geometry solutions and your answer to the following textbook question: A convex polygon can be decomposed into 47 triangles. How many sides does the polygon have? Explain.. How many sides does the polygon have? The polygon has sides. loading. See answers. loading. Ask AI. loading. report flag outlined. loading. bell outlined. Log in to add comment. Advertisement. Answer. 6 people found it helpful. Umbreon33. Umbreon33. Ace. 389 answers. 116.8K people helped. report flag outlined. Answer: The polygon has …Jan 6, 2022 · The number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides. How to Find the Number of Sides of a Regular Polygon. If we know the size of one interior angle of a regular polygon, we can find the number of sides of the polygon. Use the formula: interior angle = [(n - 2)180]/n Apr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. Nov 20, 2023Find a formula that relates the sides of a polygon to the total diagonals that it has. eg: 3 sided polygon, 0 diagonals, 4 sided, 2 diagonals, 5 sided, 5 diagonals, 6 sided, 9 diagonals, 7 sided, 14 diagonals, 8 sided, 20 diagonal, etc.10. If an interior angle of a regular polygon measures 144 degrees, how many sides does it have? 24. If an exterior angle of a regular polygon measures 15 degrees, how many sides does it have? 146 degrees. If the measures of a heptagon are 127 degrees, 152 degrees, 112 degrees, 123 degrees, 135 degrees, and 105 degrees, what is the measure of ... A regular polygon has 150º as the size of each interior angle. How many sides does it have? A. 12 B. 10 C. 9 D. 8 Correct Answer: Option A Explanation. Sum of interior angles of a polygon = each interior ∠ x n (n-2)180 = 150 x n 180n - 360 = 150n 180n-150n = 360 30n = 360 n = 360/30 n = 12 sides.Number of sides a regular polygon has. 1. Rotation angle of regular polygon that has largest taxicab maginitude between all vertices. 1. What is the height of a regular polygon? 3. Does the sum of exterior angles of a simple, convex polygon truly = 360°? 1. Number of Acute Angle in an N sides polygon. 0.18 Jun 2014 ... Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.How many sides does polygon has? A) 10. b) 8. c) 9. d) 13 . Open in App. Solution. Sum of exterior and interior angles is 180 deg. If the interior angle is 3x, the exterior angle is x. Hence 3x+x = 4x = 180 or x = 45. The interior angle is 135 deg. So the polygon has 360/45 = 8 sides or it is a regular octagonJun 26, 2019How many Sides does a polygon have with 175.2 degree angles? Updated: 4/28/2022. Wiki User. ∙ 11y ago. Study now. See answer (1) Best Answer. Copy. If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides. Wiki User. ∙ 11y ago. This answer is:Polygons are primarily classified by the number of sides. Convexity and intersection Polygons may be characterized by their convexity or type of non-convexity: Convex: any …A polygon has 90 diagonals. How many sides does it have? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 Self madeThe sum of the interior angles of a polygon is (n-2) 180, where n is the number of sides. In a regular polygon, each of those angles is equal, so each interior angle has a value of: (n-2)180/n. We are given the interior angle is 135, so we can use the above formula to solve for n. 135 = (n-2)180/n. 135n = 180n - 360-45n = -360. n = 8How many diagonals are in a 14 sided polygon? The formula for finding the amount of diagonals in a polygon is n (n-3)/2. So 14 (14-3)/2 = 77 Diagonals.Apr 28, 2022 · If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have? The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons. The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.Answer: D. 12. Step-by-step explanation: Since it is a regular polygon, all of its interior angles are equivalent. Now, we know that for regular polygons, if we divide the exterior angle measure into 360, we get the number of sides, which means we have a …Apr 28, 2022 · How many sides would a polygon have whose interior angles are exactly 179 degrees? Interior angles of any polygon with n sides always add up to 180(n-2) degrees. If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. Jun 28, 2022 · The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. A regular polygon has n sides. Then the number of pairs of parallel sides of the polygon will be . IF n is odd, then none of the sides are parallel. If n is even, then the number of pair of ... For the pentagon, this results in a polygon whose angles are all (360 − 108) / 2 = 126°. To find the number of sides this polygon has, the result is 360 / (180 − 126) = 6 2 ⁄ 3, which is not a whole number. Therefore, a pentagon cannot …Each interior angle of a polygon is 135. How many sides does it have? (a) 10. (b) 8. (c) 6. (d) 5. Q. Tick ( ) the correct answer: Each interior angle of a polygon is 108°.. 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