Question 153131: if the sum of the measures of the interior angles of a regular polygon is 540. how many sides does it have?: if the sum of the measures of the interior angles of a regular polygon is 540. how many sides does it have? Answer by orca(336) (Show Source):
You can put this solution on YOUR website! The sum of the measures of the interior angles of a regular polygon is:
180(n-2)
Setting it equal to 540, we have
180(n-2)=540
Solving for n, we obtain
180n-360=540
180n=900
n=5
So the polygon has 5 sides.
