   Chapter 2.5, Problem 20E 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 whose exterior angles each measure: a) 45 ° b) 9 °

To determine

a)

The number of sides for a regular polygon with the given measure of each exterior angles.

Explanation

Given:

The measure of each exterior angles is 45°.

Formula used:

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

E=360°n

Here, E is the measure of each exterior 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 45° for E 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 exterior angles.

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