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What is the maximum number of sides a regular polygon can have such that its interior angles (in degrees) are integers?

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What is the maximum number of sides a regular polygon can have such that its interior angles (in degrees) are integers?
posted Jan 30, 2018 by anonymous

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1 Answer

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By definition, the interior angles of a regular polygon must be less than 180°, maximizing the interior angles also maximizes the number of sides. The largest integer less than 180 is 179, and an interior angle of 179° would mean an exterior angle of 180°-179°=1°, and n=360°/1°=360 sides.

answer Feb 3, 2018 by Yasin Hossain Siinan



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