Question

find the measure of each interior angle of a regular pentagon?

Answer 1

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)...  And there are five angles...

540/5 = 108°

So, the measure of the interior angle of a regular pentagon is 108 degrees.

Answer 2

sum of the interior angles of a pentagon is 540
it has 5 angles
so divide it by 5
540÷5=108degrees