Question

"Question 3 How many sides does a regular polygon have if the measure of an exterior angle is 24°?

Understanding Quadrilaterals Page 44"

Answer 1

Sum of all exterior angles of the given polygon = 360º
Measure of each exterior angle = 24º
Thus, number of sides of the regular polygon
=360/24=15

Answer 2

Polygon:

A simple closed curve made up of only line segments is called a polygon.

Regular polygon:

A regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

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Solution:

Given:

Each exterior angle=24°

We know that,

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

 

 24° = 360°/Number of sides

Number of sides = 360°/24° = 15

Hence, the regular polygon have 15 sides.

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Hope this will help you....