SOLUTION: I need help in geomatry. How do you find exterior angles of a polygon? This is for homework so please answer as soon as possible. Thank you so much.

Algebra ->  Polygons -> SOLUTION: I need help in geomatry. How do you find exterior angles of a polygon? This is for homework so please answer as soon as possible. Thank you so much.      Log On


   

Question 3244: I need help in geomatry. How do you find exterior angles of a polygon? This is for homework so please answer as soon as possible. Thank you so much.
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angle is the supplementary angle to the interior angle of the polygon. In other words if E is the exterior angle and I is the interior angle, E+%2B+I+=+180. To find the interior angle of a regular polygon you can use the formula S+=+180+-+%28360%2Fn%29, where S is the interior angle and n is the number of sides in the polygon. So for a regular pentagon the interior angle S is S+=+180+-+%28360%2F5%29+=+108 degrees. The exterior angle is 180+-+108+=+72 degrees.