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

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Question 1194175: The ratio of the interior angle to the exterior angle of a regular polygon is 5:2. Find the number of 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 sides of the polygon
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5 + 2 = 7
7 sides
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PS That doesn't always work.
Here's the long version:
5x + 2x = 180
x = 180/7
Ext angles = 2x = 360/7
# of sides = 7.