Sum of interior and exterior angle is 180 so
Interior angle =180−72=108
Now we need to find the no of sides of the polygon= n We know that interior angle of n-sides is given by
(n−2)×180n
We have
(n−2)×180=108n
or
180n−360=108n
or
72n=360
n=5 sides so there are 5 angles each of 108 degrees Sum of the interior angles=108+108+108+108+108=540.....
To find the measure of each exterior angle of a regular polygon, you just divide 360 degrees by the number of sides.
