SOLUTION: why can't the size of the angle at the centre of a regular polygon be 25 degrees?

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Question 569103: why can't the size of the angle at the centre of a regular polygon be 25 degrees?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
why can't the size of the angle at the centre of a regular polygon be 25 degrees?
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360/25 is not an integer.
A polygon can't have 14.4 sides.