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

Answers (2)

 The measure of an exterior angle is 24°

Regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon = 360\degree

Let number of sides be X.

Sum of exterior angles of a polygon = X \ast 24\degree = 360\degree

Exterior angles of 15 sided polygon= X= 360\degree \div 24\degree  

                                                            X= 15

Hence, 15 sided  regular polygon have measure of an exterior angle  24°

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