Given
regular polygons with 5, 16, and 12 sides
Find
the measures of each interior and exterior angle
Solution
The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.
(a) pentagon. Exterior angle: 72°; Interior angle: 108°.
(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.
(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.
