SOLUTION: Is it possible to have a regular polygon with an interior angle of 110 degrees? If not, why not? ... Im just not sure how to tackle this one.

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Question 338847: Is it possible to have a regular polygon with an interior angle of 110 degrees? If not, why not? ... Im just not sure how to tackle this one.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Each angle in an n-sided regular polygon must be 180%28n-2%29%2Fn°.

We see if the equation

180%28n-2%29%2Fn%22%22=%22%22110

has a positive integer > 2 as a solution.

180%28n-2%29%22%22=%22%22110n

180n-360%22%22=%22%22110n

70n%22%22=%22%22360

n%22%22=%22%22360%2F70

n%22%22=%22%2236%2F7

n%22%22=%22%225%261%2F7

So the answer is no because 5%261%2F7 is not a positive integer.

Edwin