Step-by-step explanation:
The sum of the exterior angles of any polygon is always 360°. Since the polygon is regular, all exterior angles are equal, and each exterior angle is 18°.
Let's divide the total sum of exterior angles (360°) by the measure of each exterior angle (18°) to find the number of sides:
360° ÷ 18° = 20
So, the polygon has 20 sides.
Note: This method works because the number of sides of a polygon is equal to the number of exterior angles.
