Question

What is the measure of all exterior angles of a pentagon

Answer 1

72 degrees for each exterior angle and 360 degrees for all of them summed.

Explanation:

An exterior angle of a polygon is the angle between the line extending one of its sides and the next side. As you go around a regular n sided polygon doing this, you will rotate through a complete circle of 360 degrees. All these angles are equal, so each one is 360/n.

For the pentagon, n=5, so the sum of all its exterior angles is 360 degrees and each exterior angle is 360/5=72 degrees.