SOLUTION: The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle, and find the number of sides. The measure of the exterior angle is 72 degre

Algebra ->  Angles -> SOLUTION: The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle, and find the number of sides. The measure of the exterior angle is 72 degre      Log On


   

Question 510290: The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle, and find the number of sides. The measure of the exterior angle is 72 degrees.
I found that the adjacent angle is 108 degrees. That is as far as I got. Can you explain this? Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the exterior angles of ANY regular polygon sum to 360º

as you have shown, the interior and exterior angles are supplementary

it seems that you have a pentagon