To determine the measure of each exterior angle of a regular pentagon, we first need to know how many sides the polygon has and use the formula for the exterior angles. A regular pentagon has 5 sides.
The formula for finding the measure of each exterior angle of any regular polygon is:
Exterior Angle = 360° / n
where n is the number of sides. In this case, substituting 5 for n, we get:
Exterior Angle = 360° / 5 = 72°
Therefore, each exterior angle of a regular pentagon measures 72 degrees. This means that when you draw one exterior angle, it will create a straight line with the adjacent interior angle, reinforcing the concept that the sum of an exterior angle and its corresponding interior angle equals 180 degrees.