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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

Find The Measure Of Each Interior Angle And Each Exterior Angle Of A Regular 20gon A Twentysided PolygonMeasure Of Each Interior Angle Х5Measure Of Each Exterio class=

Answer :

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

The measure of each interior angle will be given by:

[tex]\frac{(n-2)}{n}\cdot180[/tex]

where n is the number of sides

Substitute with n = 20

So, the measure of each interior angle =

[tex]\frac{20-2}{20}\cdot180=\frac{18}{20}\cdot180=162[/tex]

The sum of exterior angles = 360

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

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