SOLUTION: The measures of the angles of a regular polygon are whole numbers. What is the greatest number of sides that the polygon can have? Explain.
THank you!
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THank you!
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Question 951156: The measures of the angles of a regular polygon are whole numbers. What is the greatest number of sides that the polygon can have? Explain.
THank you! Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The measures of the angles of a regular polygon are whole numbers. What is the greatest number of sides that the polygon can have? Explain.
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360 sides.
That makes the exterior angles 1 deg, and the interior 179 degs.
Any more than 360 sides will make the angles non-integers.
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Unless you consider a circle to be a polygon with an infinite # of sides.
Then each interior angle = 180 degs.
