Question 247321: what is the number of sides a polygon has if the sum of the degree measures of the interior angle is 180°? Found 2 solutions by Edwin McCravy, solver91311:Answer by Edwin McCravy(20060) (Show Source):
You can put this solution on YOUR website! what is the number of sides a polygon has if the sum of the degree measures of the interior angle is 180°?
The formula for the , the sum of the degree measures of the interior
angles of a polygon with sides is
So we substitute for
Divide both sides by
So the answer is: It has 3 sides.
That means the polygon is a triangle.
I'll bet you've known all along that the
measures of the interior angles of a triangle
is 180°, now haven't you? Maybe you didn't
know that a triangle was a polygon, but it is!
It's a polygon with three sides!
Edwin