If the interior angle of a regular polygon measures 108° how many sides does a polygon have

5 sides

Step-by-step explanation:

The quickest way to answer this is to use the fact the exterior angles of a polygon add to 360.

If the interior angles are each 108, then the exterior angles are each 180 - 108 = 72. (using the fact that the Interior angle + exterior angle adds to 180)

Next, we just work out 360 : 72 = 5.

So the polygon must have 5 angles, and therefore 5 sides.

A polygon has a total of 5 sides