Question

Find the number of sides of a regular polygon whose measure of each exterior angle is 45°.

Answer 1

Let the number of sides be n 

Sum of all exterior angle of n side regular polygon = 360° 

∴ each exterior angle = 360°/n

According to question 45° = 360°/n

⇒ 45° n = 360° 

⇒ n = 360°/45° = 8

⇒ n = 8 

Number of sides = 8