Question

Find the measure of each interior angle and each exterior angle of a regular 90-gon.

Answer 1

Interior angle

176 degrees

Exterior

4 degrees

Explanation:

Exterior angle

For any polygon, the measure of the total exterior angle is 360

To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case

We have this as;

360/90 = 4

Interior

To get the measure of each interior angle, we use the formula below;

[(n-2)180]/n

n in this case is 90

So we have

[(90-2)180]/90

= (88 * 180)/90

= 2 * 88 = 176