   Chapter 2.5, Problem 15E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Find the number of sides for a regular polygon whose measure of each interior angle is: a) 108 ° b) 144 °

To determine

a)

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

Explanation

Given:

The measure of each interior angle is 108°.

Formula used:

The formula to calculate the measure of each interior angle of a regular polygon.

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 which is equiangular and equilateral is called regular polygon.

Calculation:

Calculate the number of sides for a regular polygon.

Substitute 108° for I in the above mention formula to calculate the number of side.

To determine

b)

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

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