SOLUTION: Find the number of sides of a regular polygon with an interior angle measuring 144 degrees.

Algebra ->  Polygons -> SOLUTION: Find the number of sides of a regular polygon with an interior angle measuring 144 degrees.      Log On


   

Question 143288: Find the number of sides of a regular polygon with an interior angle measuring 144 degrees.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the number of sides of a regular polygon with an interior angle measuring 144 degrees.
-----------
The corresponding exterior angle is 180-144 = 36 degrees.
----------
The sum of all the exterior angles is 360 degrees.
360/36 = 10
-----------
There are 10 exterior angles, so there are 10 sides.
=================
Cheers,
Stan H.