Question

Find the number of sides of a regular polygon.
whose to each exterior angle has a measure of 72​

Answer 1

Answer:

5

Step-by-step explanation:

Given measurement of each exterior angle = 72°

So measurement of each interior angle = 108°

Number of sides of the polygon :

(n - 2)180/n = 108

⟹ 180n - 360/n = 108

⟹ 180n - 360 = 108n

⟹ 180n - 108n = 360

⟹ 72n = 360

⟹ n = 5