WebDec 31, 2024 · If the interior angle is 130° then the exterior angle will be 50°. The sum of the exterior angles is always 360° and we can use this fact to find the number of sides. 360° ÷ 50° = 7.2 sides. The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon. WebThe sum of interior angles is \((6 - 2) \times 180 = 720^\circ\).. One interior angle is \(720 \div 6 = 120^\circ\).. Exterior angles of polygons. If the side of a polygon is extended, the …
Which of the following are possible measures of the exterior angles …
Web1. Calculate the size of the exterior angles of a regular polygon which has interior angles of: (a) 150 ° (b) 175 ° (c) 162 ° (d) 174 ° 2. Calculate the sizes of the exterior and interior angles of: (a) a regular octagon, (b) a regular decagon. 3. (a) Calculate the size of the interior angles of a regular 12-sided polygon. WebA vertex point is a point in a polygon where sides or edges meet. The way to know that there will be no gaps at each vertex point of the above tessellations is by making sure that the regular polygons' interior angles are factors of 360. We can make sure of this by using the mathematical expression 180𝑛 − 360/𝑛 , where is equal to number of sides of the polygon. philosopher\\u0027s wp
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WebThe interior angles of a polygon add up to 1980°. Work out the number of sides the polygon has. 5. ... A polygon has an interior angle of 175°. Calculate the number of sides to the … Web👉 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. A regular polygon... WebJun 15, 2024 · Just divide the sum of the angles by the number of sides. Regular Polygon Interior Angle Formula: For any equiangular n−gon, the measure of each angle is (n − 2) × 180 ∘ n. Figure 5.27.3. In the picture below, if all eight angles are congruent then each angle is (8 − 2) × 180 ∘ 8 = 6 × 180 ∘ 8 = 1080 ∘ 8 = 135 ∘. Figure 5.27.4. t shirt army white