SOLUTION: Calculate the number of sides of a regular polygon if an interior angle is five times the side of an exterior angle.
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Question 666800: Calculate the number of sides of a regular polygon if an interior angle is five times the side of an exterior angle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The measure of an interior angle of a regular 
-gon is given by:
}{n})
The measure of an exterior angle of a regular polygon is given by
Given the stated 5 to 1 ratio,
}{n}\ =\ \frac{5(360)}{n})
Equal fractions with equal denominators must have equal numerators:
\ =\ 5\,\cdot\,360)
Solve for Hint: Divide through by 180 before you do anything else.
John
My calculator said it, I believe it, that settles it
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