Find the number of sides of a regular polygon whose measure of each ex

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

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

Answer»

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