Question

Find the measure of each interior angle and each exterior angle of a regular 20-gon (a twenty-sided polygon).Measure of each interior angle =0х5?Measure of each exterior angle =ContinueContinue© 2021 McGraw-Hill Education. All Rights Reserved. Terms of USearch for anythingо方SDOLL

Answer 1

REmember that the sum of the interior angles in any polygon is equal to

S=180(n-2)

where

n is the number sides

In this problem

n=20 sides

so

S=180(20-2)

S=3,240 degrees

Divide by the number of sides to obtain the measure of each interior angle

3,240/20=162 degrees

To obtain the measure of exterior angle

180-162=18 degrees

therefore

answer is

Measure of each interior angle is 162 degrees

Measure of each exterior angle is 18 degrees