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 …Oct 23, 2017 · 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 the formula to calculate the sum of the interior angles of a polygon: n = 180(n - 2), where . n. is the number of sides. 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 ...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 octagonA 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 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:Think about it: How could a polygon have 4.5 sides? A quadrilateral has 4 sides. A pentagon has 5 sides.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...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.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.An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments. In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of ...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 …Step 1. We need to find the number of sides of a polygon if the exterior angle of a regular polygon measures... View the full answer Step 2. Unlock. Step 3. Unlock. Answer. Unlock. Previous question Next question. 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.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. 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°) 1 Answer. Obviously the question is worded wrongly. In any polygon, the number of diagonals is one less than a triangular number, and 60+1=61 is not triangular. …Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Apr 26, 2017 · If the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have? Get the answers you need, now! if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon - brainly.com 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 ang22 Jun 2021 ... ∴ The regular polygon has 8 sides. Additional Information. 1) Regular Polygon: If all sides of any polygon are equal, the polygon is called a ...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 octagonDec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? 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. 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 …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. 18 May 2018 ... How many sides does polygon P have? (1) All sides of P have equal lengths. (2) The sum of the measures of the interior angles of P is ...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). Best Answer. Copy. The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon. Another method is based on the fact that the exterior angles are 360/n degrees.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 ...A pentagon is the name for a five-sided polygon. However, there are different types of five-sided polygons, such as irregular, regular, concave and convex pentagons. If, in a five-...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 …A polygon of n sides has n vertices. 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 a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...A polygon is a plane shape (two-dimensional) with straight sides. Examples include triangles, quadrilaterals, pentagons, hexagons and so on. Regular Here we look at Regular Polygons only. Properties So what can …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 diagonals of a convex polygon of n sides is (n(n-3))/2 Let there be a polygon ( I am assuming a convex polygon) of n sides. Let us consider its one vertex. This does not form a diagonal with itself as well as immediate two neighbouring vertices, hence it can for diagonals with remaining (n-3) vertices, (n-3) diagonals Hence …You know what the formula for the number of diagonals in a polygon is, and you know that the polygon has 90 diagonals, so plug 90 in for the answer and solve for n: Thus, n equals 15 or –12. But because a polygon can’t have a negative number of sides, n must be 15. So you have a 15-sided polygon (a pentadecagon, in case you’re curious).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 ... 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.Polygon has 12 sides - it is dodecagon. As the measure of the exterior angles of a regular polygon are 1/5 times the measure of its interior angles, each exterior angle of the regular polygon too will be 1/5 times the measure of its interior angle. Let the exterior angle be x and then interior angle would be 5x and as their sum is always …Join BYJU'S Learning Program. 11. A polygon has 170 diagonals. How many sides will it have? A) 12 B) 17 C) 20 D) 25.Final 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 …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 …Use the exterior angle sum property of the polygon to find the number of sides: It is given that a regular polygon has the measure of an exterior angle 24 °. (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior …The 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.File previews. pdf, 231.73 KB. Exam questions love to use angle reasoning to work out the number of sides a polygon has. This worksheet is aimed at practising that skill whilst also consolidating work on interior and exterior angles of regular polygons.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°) 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 ... 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.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 ...Join BYJU'S Learning Program. 11. A polygon has 170 diagonals. How many sides will it have? A) 12 B) 17 C) 20 D) 25.The reason is that the only that is sure is that sum of all exterior angles of any polygon is always 360^@. As one angle is 12^@, only thing you can say is that sum of remaining angles is 360^@-12^@=348^@. You do not know about other angles and number of sides could be any number. For example, if other angles are 1^@ each, we may have …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 ... 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.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.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 . Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... 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.21 Oct 2013 ... regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon ...The sum of the interior angles in a polygon depends on the number of sides it has. The Polygon Sum Formula states that for any n − gon, the interior angles add up to ( n − 2) × 180 ∘. → n = 8 ( 8 − 2) × 180 ∘ 6 × 180 ∘ 1 080 ∘. Once you know the sum of the interior angles in a polygon it is easy to find the measure of ONE ...25 Oct 2017 ... Therefore, this polygon has 36 sides. TheXSquaredFactor Oct 25, 2017. 1 ...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 ...27 Sept 2017 ... Question From- Ncert Maths Class 8 Chapter 3.2 Example Question - 4 Linear Equations In One Variable Cbse Rbse Up Mp Bihar Board ...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.A polygon of n sides has n vertices. 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 a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees? The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees). Related questions.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 SolutionAn irregular polygon has one angle 126 degrees and the rest 162 degrees. how many sides are there in this irregular polygon? ... Therefore your polygon has 10 sides. Share. Cite. Follow answered May 3, 2018 at 2:48. Joseph Joseph. 1 $\endgroup$ 1. 1 $\begingroup$ might be good to justify why do you do those operations. $\endgroup$ – …How many sides does a regular polygon have if each of its interior angle is 165 ∘? Q. If each interior angle of a regular polygon is 150 ∘ , how many sides does this polygon have?Jun 26, 201927 Sept 2017 ... Question From- Ncert Maths Class 8 Chapter 3.2 Example Question - 4 Linear Equations In One Variable Cbse Rbse Up Mp Bihar Board ...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?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 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)In a polygon, there are 5 right angles and the remaining angles are equal to 1 9 5 ∘ each. Find the number of sides in the polygon. Find the number of sides in the polygon. MediumHow many sides does a regular polygon have if each of its interior angle is 165 ∘? Q. If each interior angle of a regular polygon is 150 ∘ , how many sides does this polygon have?Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... A pentagon is any polygon that has five sides and five angles. The root of the word pentagon is “penta” which comes from the Greek word for five. “Gon” comes from the Greek word for angle. So, if you put the two words together, you get “five angles,” which corresponds to how many angles are in the shape. As I just mentioned, in ... 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.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.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 ...Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. 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. 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.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 …The 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.
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 .... Clima grand prairie
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 …Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... 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 ... 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. 28 Jun 2020 ... "How many sides has a regular polygon, each angle of which is of measure `108^0` ?" 3.2K views · 3 years ago ...more ...29 Nov 2022 ... How many sides has a regular polygon, each angle of which is 108°. 76 views · 1 year ago ...more. Easy Maths with Vikas Dogra. 2.73K.The sides of a regular polygon are the line segments that make it up. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. The length of the sides will change. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.1 Answer. Obviously the question is worded wrongly. In any polygon, the number of diagonals is one less than a triangular number, and 60+1=61 is not triangular. …It is known that the measure of each interior angle is 165 °. Then, each exterior angle = 180 ° - 165 ° [ ∵ exterior angle = 180 ° - interior angle] ∵ (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior angle property of polygons] Therefore, a polygon with interior angles 165 ° has 24 sides.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 ) = 1260if 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=8640.12 May 2017 ... This is a video about How Many Sides Does A Polygon Have Subscribe for more video ▷▷ http://bit.ly/2Mjf4tw #NEW VIDEO# ...Aug 3, 2023 · How many Sides does a Polygon Have. It should have a minimum of three sides but can have any maximum number of sides. A polygon is usually named based on the number of sides it contains. A polygon with n sides is called an n-gon. Given below is the list of common polygons: 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 ….