You can put this solution on YOUR website! To find how many sides there are, you'd first have to know the exterior angles to the interior angles. Interior Angles + Exterior Angles always have to equal 180°. Here's a formula: . We know that the interior is 108, so 180-108=72. Each exterior angle is 72°. All of the exterior angles together must equal 360°. So, where s equals the number of sides. 360/72=5. There are 5 sides to your polygon, so it is a pentagon. :)