SOLUTION: The interior angle of a polygon is 108° more than the exterior angle. Find the number of sides of the polygon

Algebra ->  Polygons -> SOLUTION: The interior angle of a polygon is 108° more than the exterior angle. Find the number of sides of the polygon      Log On


   

Question 1201077: The interior angle of a polygon is 108° more than the exterior angle. Find the number of sides of the polygon
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The measures of the interior and exterior angles add to 180 degrees. Use formal algebra or mental arithmetic to determine that the interior angle is 144 degrees and the exterior angle is 36 degrees.

The measure of an exterior angle of a regular polygon is 360 degrees, divided by the number of sides of the polygon. So the number of sides of this polygon is 360/36 = 10.

ANSWER: 10 sides