How many sides does a regular polygon have if the measure of an exterior angle is 24°?

Solution:

Total sum of all the exterior angles of the regular polygon = 360°

Let number of sides be = n.

Measure of each exterior angle = 24°

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

= 360° / 24°

= 15

Thus the regular polygon has 15 sides.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 3

Video Solution:

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 3

Summary:

The number of sides a regular polygon has if the measure of an exterior angle is 24° is 15.

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