3 years ago

Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics

1 answer:

fredd [130]3 years ago

7 0

<h3>Given</h3>

regular polygons with 5, 16, and 12 sides

the measures of each interior and exterior angle

<h3>Solution</h3>

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°.

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