Question

the measure of an exterior angles has a measure of 72 degree, then what is the number of

sides of the polygon ?​

Answer 1

Answer:

5 sides

Step-by-step explanation:

There is a formula for the exterior angle measurement of regular polygons, where n is the number of sides and m is the measure of each exterior angle:

m° = 360°/n

72° = 360°/n : Multiply both sides by “n” to clear the fraction

(72°)(n) = 360° : Divide both sides by 72° to isolate n.

n = 360°/72°

n = 5 sides, this is a pentagon.