Question

An exterior angle of a regular polygon is 72°.

(i) what is the size of each interior angle of the polygon?
(ii) Find the number of sides of the polygon.

Answer 1

The answer is 5
.....

Answer 2

Exterior angle = 72⁰

As polygon is regular , each interior angle = 180⁰ - 72⁰ = 108⁰

Number of sides :

As the sum of exterior angles is 360⁰ :

n × 72⁰ = 360⁰

n = 360/72 = 5