Question

A Pentagon has three angles that are congruent and two other angles that are supplementary to each other. Find the measure of each of the three congruent angles in the Pentagon

Answer 1

First, you need to know that all the interior angles of a pentagon add up to 540 degrees.

Since we already know 2 angles are supplementary (add up to 180 degrees), we can subtract that from 540 degrees.

540 - 180 = 360       <--- 360 is the sum of the remaining angles

The other three angles are congruent to each other, so they have the same values. Just divide 360 by 3. So the answer would be 120 degrees.