   Chapter 2.5, Problem 9E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the measure of each interior angle of a regular polygon of n sides if: a) n = 4 b) n = 12

To determine

a)

The measure of each interior angle of a regular polygon with the given sides.

Explanation

Given:

The number of sides of the polygon is 4.

Formula used:

The formula to calculate the measure of each interior angle of a regular polygon is given by,

I=(n2)×180°n

Here, I is the measure of each interior angle of a regular polygon and n is the number of sides of the polygon.

Definition:

A polygon that is equiangular and equilateral is called regular polygon.

Calculation:

Calculate the measure of each interior angle of a regular polygon.

Substitute 4 for n in the above-mentioned formula to calculate the measure of each interior angle

To determine

b)

The measure of each interior angle of a regular polygon with the given sides.

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