SOLUTION: What is the formula to find out the number of sides of a regular polygon when one interior angle is given?
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Question 251990: What is the formula to find out the number of sides of a regular polygon when one interior angle is given?
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
(n-2)180=sum of the interior angles. If you just want to find one angle, then you divide (n-2)180 by the number of sides and you get
= one angle of a regular polygon
since you know the angle, you set the angle equal to
Let the angle be represented by A.
using algebra, we can say
180n-360-An=0
180n-An=360
n(180-A)=360
n=360/(180-A)
Therefore, the formula to find out the number of sides of a regular polygon when one interior angle is given is:
Where n=number of sides and A is the given angle.
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