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:

`((n-2))/(n)\cdot180`

where n is the number of sides

Substitute with n = 20

So, the measure of each interior angle =

`(20-2)/(20)\cdot180=(18)/(20)\cdot180=162`

The sum of exterior angles = 360

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