Find the measure of each exterior angle of a regular polygon of
(i) 9 sides (ii) 15 sides

Solution:

Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.

(i) 9 sides

The total sum of all exterior angles = 360°

Each exterior angle = Sum of exterior angles / Number of sides

= 360°/9

= 40°

Each exterior angle = 40°

(ii) 15 sides

The total sum of all exterior angles = 360°

Each exterior angle = Sum of exterior angles / Number of sides

= 360°/15

= 24°

Each exterior angle = 24°

☛ Check: Class 8 Maths NCERT Solutions Chapter 3

Video Solution:

Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 2

Summary:

The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.

☛ Related Questions:

• How many sides does a regular polygon have if the measure of an exterior angle is 24°?
• How many sides does a regular polygon have if each of its interior angles is 165°?
• (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?
• (a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?