   Chapter 7.3, Problem 25E 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 number of sides for a regular polygon in which the measure of each interior angle is 60° greater than the measure of each central angle.

To determine

To find:

The number of sides of a regular polygon.

Explanation

Approach:

1) The measure of each interior angle of a regular polygon is given by I=(n2)180n

2) The measure of any central angle of a regular polygon of n sides is given by c=360n

Calculation:

The measure of each interior angle of a regular polygon of sides n is given by I=(n2)180n

The measure of any central angle of a regular polygon of n sides is given by c=360n

According to the question, (n2)180n

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