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 =Х5?Measure of each exterior angle =ContinueContinue© 2021 McGraw-Hill Education. All Rights ReservedSearch for anythingRIoR

Answer 1

Given a regular 20-gon ( a 20 sided polygon )

The measure of each interior angle will be given by:

$\frac{(n-2)}{n}\cdot180$

where n is the number of sides

Substitute with n = 20

So, the measure of each interior angle =

$\frac{20-2}{20}\cdot180=\frac{18}{20}\cdot180=162$

The sum of exterior angles = 360

So, the measure of each exterior angle = 360/20 = 18