Question

find the measure of each interior angle and of each exterior angle of a regular 45-gon. the measure of each interior angle is. . . .and the measure of each exterior angle is ....

Answer 1

Answer: The measure of each interior angle is 172° and the measure of each exterior angle is 8°.

Step by step solution:

The sum of the interior angles is:

`(n-2)*180=(45-2)*180=43*180=7740`

Now that we have the sum, each interior angle is that over 45:

`(7740)/(45)=172`

Each interior angle is 172°.

Each exterior angle is: 8°

`(360)/(45)=8`