   Chapter 7.3, Problem 21E 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 whose central angle measures a) 40°. c) 45°.

To determine

a) To find:

The measure of each interior angle of a regular polygon.

Explanation

Approach:

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

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

Calculation:

It is given that the central angle of the regular polygon is 40°.

Use the formula of central angle, c=360n

Substitute c = 40° in c=360n.

40=360nn=3604

To determine

b) To find:

The measure of each interior angle of a regular polygon.

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