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

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°

15

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