Question

The ratio between the exterior and interior angle of a regular polygon is 1:5, find a. the measure of each exterior angle.

Answer 1

Answer:

The measure of interior angle = (n - 2)(180)

and the measure of an exterior angle = (360/n).

180n(n-2) = (360)(5n)

(n-2) = (2)(5)

n-2 = 10

n= 12.

Polygon has 12 sides.

The exterior angle is equal to 360 / 12

the exterior angle is 30 degree