SOLUTION: The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find the number of the sides of the polygon

Algebra ->  Polygons -> SOLUTION: The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find the number of the sides of the polygon      Log On


   



Question 992749: The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find the number of the sides of the polygon
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find the number of the sides of the polygon
================
5x + 2x = 180
x = 180/7
----
Ext angles = 360/7
n = 360/(360/7) = 7 sides