   Chapter 8.CR, Problem 18CR 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

For a regular pentagon, find the measure of each:a) central angleb) interior anglec) exterior angle

To determine

(a)

To find:

The measure of central angle for a regular polygon.

Explanation

Calculation:

The formula for finding the measure of the central angle of a regular n-sided polygon is

C=360n

The pentagon has 5 sides. So n = 5.

Sketch the following diagram:

To determine

(b)

To find:

The measure of interior angle for a regular polygon.

To determine

(c)

To find:

The measure of an exterior angle for a regular polygon.

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