WebJun 5, 2024 · So you can find the size of the exterior angles of a regular polygon quite easily: If there are 18 sides (n = 18), then each exterior angle is: 360° n = 360° 18 = 20°. The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line. ∴ each interior angle is 180° − 20° = 160°. Answer link. WebJun 3, 2016 · If the interior angle is 165°, then the adjacent exterior angle is 15° The sum of the exterior angles is always 360°, so by dividing 360° by the exterior angle, we will …

Interior Angle Formula - Cuemath

WebWe know that each exterior angle is supplementary to the interior angle. Thus, from the above formula, we can derive each exterior angle = [180°n -180°n + 360°]/n = 360°/n. Therefore, the sum of exterior angles of a polygon = n (360°/n). As, the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5 ... WebA regular octagon is an octagon whose sides are equal in length, and whose interior angles are equal in measure. Since each of the eight interior angles in a regular octagon are equal in measure, each interior angle … cytogenetics upmc

5.27: Interior Angles in Convex Polygons - K12 LibreTexts

WebA regular nonagon is a nonagon in which all sides have equal length and all interior angles have equal measure. Angles of a regular nonagon. Since each of the nine interior … WebAngles of a regular heptagon. Since each of the seven interior angles in a regular heptagon are equal in measure, each interior angle measures 900° ÷ 7 ≈ 128.57°, as shown below. Each exterior angle of a regular … WebJan 26, 2024 · Each interior angle of a regular octagon is = 135°. Finding interior angles of regular polygons Finding the number of sides of a polygon. You can use the same formula, S=(n-2)×180°, to find out how … bing back to the future quiz 2021