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. 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: …The sum of the interior angles in a regular polygon is given by the formula 180 (n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180 (8 – 2) = 180 (6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.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.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 3 Oct 2011 ... So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take ...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.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: …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 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.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.Apr 28, 2022 · The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/n. If the interior angle is 11 times the exterior angle, then: 180 (n-2)/n = 11 x 360/n. then: 180 n - 360 = 11 x 360, or. 180 n = 12 x 360. that its solution gives n = 24. Accordingly, the answer is that the number of sides of this polygon ... A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and ... 12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because …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 polygon has 90 diagonals. How many sides does it have? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 Self madeFinal answer: If a regular polygon has interior angles each measuring 165 degrees, the polygon has 24 sides. This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size. Explanation: To find out how many sides a regular polygon has, based on the size of its interior angles, you can use …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:Feb 6, 2024 · Polygon Calculator. Use this calculator to calculate properties of a regular polygon. Enter any 1 variable plus the number of sides or the polygon name. Calculates side length, inradius (apothem), circumradius, area and perimeter. Calculate from an regular 3-gon up to a regular 1000-gon. Units: Note that units of length are shown for convenience. 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 interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?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 …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 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.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 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. Transcribed image text: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have? CA. 10 O B. 18 C C. 20 С D. 36.6 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 …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.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: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …A regular polygon of n sides has an exterior angle whose measure is 12 degrees larger than the measure of the exterior angle of the regular polygon with n 1 sides. Find n and name the type of polygon that has n sides. arrow_forward. The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long ...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 Solution. The correct option is A 5. A diagonal is formed by joining opposite vertices. A polygon with 5 sides has 5 diagonals. Suggest Corrections. 7.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 …360o 72o = 5. The Regular Polygon with Exterior Angles of 72o is a Pentagon. Answer link. See a solution process below: The Exterior Angles of a Regular Polygon always add up to 360°: Therefore, we can divide 360^o by 72^o to find the number of sides: 360^o/72^o = 5 The Regular Polygon with Exterior Angles of 72^o is a Pentagon.The number of diagonals in any polygon is = n (n−3)/2. Given that this is equal to 27, we have that n (n−3)=2⋅27=54. , => n2−3n−54=0. Now you could just try values of n until you find one that works (shouldn’t take too long) or you could solve the quadratic equation if you know how to do that. n2−3n−54=0. Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? 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 ... 12 May 2017 ... This is a video about How Many Sides Does A Polygon Have Subscribe for more video ▷▷ http://bit.ly/2Mjf4tw #NEW VIDEO# ...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 Solution25 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.Dec 11, 2023 · Dodecagon: 12 Sides. Not to be confused with a decagon, a dodecagon has just two more sides for a total of 12. 12 sides and 12 angles make this shape unique from the others. As you can see, the name is very similar to "decagon" which has 10 sides. The "do" prefix just means add 2 to 10 which gives you 12. 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 …Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Jan 12, 2020 · Geometry Help Please. 0. 2428. 3. The number of diagonals in a certain regular polygon is equal to four times the number of sides. How many sides does this polygon have? There was a question similar to this except it was 5 times the number of sides, please help me. Thanks! 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 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: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)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 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.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)20 Jul 2023 ... Class 8 Maths I Chapter 3I Exercise 3.2 I Question 3 I Understanding Quadrilaterals I NCERT I CBSEI @brainosolutions.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. Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as, Sum of angles = (n - 2) × 180° If the sum of the interior angle measures of a ... In a regular polygon, the line segments that make up the polygon have the same length and the interior angles are of equal measure. The measure of the interior angle of a regular polygon with n number of sides is given by: I n t e r i o r A n g l e = ( n − 2) 180 ∘ n.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...Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10Nov 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. 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.How many sides would a regular polygon have with an interior angle of 178 degrees? If interior angle is 178o then the exterior angle = 180 - 178 = 2o So the number of sides = 360 / 2 = 180 sides.Answer: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …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. 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 ...A polygon is a closed 2-D shape that is made up of three or more straight lines. A polygon has at least three sides. Each side of the line segment intersects with another line …The polygon has 8 sides. Explanation: To find the number of sides in a polygon given the sum of the interior angle measures, we can use the formula: Sum of Interior Angle Measures = (n - 2) * 180° Where 'n' represents the number of sides in the polygon. In this case, we plug in the given value: 1080° = (n - 2) * 180° Simplifying the …A regular polygon of n sides has an exterior angle whose measure is 12 degrees larger than the measure of the exterior angle of the regular polygon with n 1 sides. Find n and name the type of polygon that has n sides. arrow_forward. The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long ...Find 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.Apr 28, 2022 · A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the ... 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 ...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.A regular polygon has interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... 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 .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 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!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:Ex 3.2, 4 (Introduction) How many sides does a regular polygon have if each of its interior angles is 165°?Let there be a triangle ∆ ABC where ∠ A = 22° Let ∠ 1 be the exterior angle Since BAD is a line ∠ BAC + ∠1 = 180° ∠ 1 = 180° − 22° ∠ 1 = 158° So, in a polygon Interior angTranscribed image text: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have? CA. 10 O B. 18 C C. 20 С D. 36.The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.A pentagon has 5 sides, and can be made from three triangles, so you know what ..... its interior angles add up to 3 × 180° = 540° And when it is regular (all angles the same), then each angle is 540° / 5 = 108° (Exercise: make sure each triangle here adds up to 180°, and check that the pentagon's interior angles add up to 540°) 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.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.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 …How 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.Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). 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?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.We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based on ... 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 …
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. . Lebanon wikipedia
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°.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? How many sides has the polygon? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Binayaka C. Dec 21, 2017 The polygon is Hexakaidecagon having #16# sides. Explanation: Exterior angle of regular polygon of #n# sides is #E=360/n# Interior angle ...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 ...Jan 31, 2023 · Download Article. 1. Define the formula. The formula to find the number of diagonals of a polygon is n (n-3)/2 where “n” equals the number of sides of the polygon. Using the distributive property this can be rewritten as (n 2 - 3n)/2. You may see it either way, both equations are identical. 360o 72o = 5. The Regular Polygon with Exterior Angles of 72o is a Pentagon. Answer link. See a solution process below: The Exterior Angles of a Regular Polygon always add up to 360°: Therefore, we can divide 360^o by 72^o to find the number of sides: 360^o/72^o = 5 The Regular Polygon with Exterior Angles of 72^o is a Pentagon.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. a polygon has 170 diagonals. how many sides does it have, a polygon has 27 diagonals how many sides does it have, a polygon has 54 diagonals how many sides, a polygon has 77 diagonals, a polygon has 77 diagonals determine the number of sides, a polygon has 90 diagonals how many triangles, a polygon of n sides has n(n-3)/2 diagonals, a polygon ... Measure of each interior angle = 165°. Measure of each exterior angle = 180° - 165° = 15° [Since, an interior and an exterior angle forms a linear pair] Number of sides = Sum of exterior angles / Each exterior angle. = 360° / 15. = 24. Hence, the regular polygon has 24 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.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 .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.So, the an exterior angle of the given regular polygon : = (360°/n) By, comparing the two values of an exterior angle of the given regular polygon, we get : 360/n = 6 . n × 6 = 360. n = 360/6. n = 60 . Number of sides of the regular polygon = n = 60 (This will be considered as the final result.) Hence, the number of the sides of the regular ...A polygon has 90 diagonals. How many sides does it have? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 Self madeThe 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.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 …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 ... 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!See full list on mathsisfun.com 23 Jan 2023 ... If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 ...It has five sides and five angles, all of which are the same length or size. The shape on the right is an irregular pentagon. Each side is a different length. Each angle is a different ….