Answer:
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The formula for calculating the size of an exterior angle is:
exterior angle of the polygon = 360 ÷ n
(where n is the number of sides)
Therefore, 72 = 360 ÷ n
Multiply both sides by n: 72n = 360
Divide both sides by 72: n = 5
Therefore, a polygon whose exterior angle has a measure of 72° has 5 sides.
