Question

gr. Find the measure of each exterior angle of a regular polymon of
9 sides and 15 sides​

Answer 1

Answer:

1. 40°
2. 24°

Explanation:

(1 ) 9 sides

Solution:

• Sum of all exterior angle of a polygon = 360°

• As a regular polygon has its each exterior angle equal, And Number of Angles is same as the number of sides. Ee could find the measure of each angle by this simple equation :-

Measure of each exterior angle = sum of all exterior angles/number of sides

Each exterior angle = 360°/9

Each exterior angle = 40°

40° is the measure.

(2) 15 sides

Solution:

• Sum of all exterior angle of a polygon = 360°

Measure of each exterior angle = sum of all exterior angles/number of sides

Each exterior angle = 360°/15

Each exterior angle = 24°

24° is the measure.