Chapter 9, Problem 8CUR

To determine

To Find: the measure of each interior and exterior angle of a regular polygon of 18 sides.

Answer to Problem 8CUR

The measure of each angle is $2880°$ and of each exterior angle is $20°$ .

Explanation of Solution

Given information: We have given a regular polygon of 18 sides.

We know that the measure of each interior angle of regular polygon of $n$ sides is

  $\frac{2\left(n-2\right)\times 90°}{n}.$

So, each interior angle is $=\frac{2\left(18-2\right)\times 90°}{18}=\frac{32\times 90°}{18}=2880°$ .

And the measure of each exterior angle is given by $\frac{360°}{n}$ .

So, we get $\frac{360°}{18}=20°$ .