Chapter 9, Problem 15CR

To determine

To calculate:The measure of each exteriorangle.

Answer to Problem 15CR

The measure of each exterior angle is $15°.$

Explanation of Solution

Given information:

Sum of the angles of an equiangular polygon is $3960°$ .

Formula used:

Sum of the angles of an equiangular polygon $=(n-2)180^{\circ }$

n = sides of an equiangular polygon.

Measure of each exterior angle $=\frac{360^{\circ }}{n}$

n = sides of an equiangular polygon.

Calculation:

In an equiangular polygon,

Measure of each exterior angle $=\frac{360^{\circ }}{n}=\frac{360^{\circ }}{24}={15}^{\circ }$