What is the sum of the measures of the interior angles of a regular polygon if each angle measures 72

540 degrees.

Step-by-step explanation:

I assume that 72 degrees is the measure of an exterior angle. This is the case in a pentagon because 360 / 72 = 5.

So each interior angle measures 180 - 72 = 108 degrees.

The sum of the interior angles = 5 * 108 = 540 degrees.