SOLUTION: Is it possible to have a regular polygon with an angle measure of 18˚?
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Question 677294: Is it possible to have a regular polygon with an angle measure of 18˚?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I = (180(n-2))/n
18 = (180(n-2))/n
18n = 180(n-2)
18n = 180n-360
18n - 180n = -360
-162n = -360
n = -360/(-162)
n = 2.22222222222222
Since the answer is a decimal number, when it *should* be a whole number, this means that it is impossible to have a regular polygon with an interior angle measure of 18 degrees.
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