SOLUTION: Is it possible to have a regular polygon with at least one 100 Degree angle.

Question 457814: Is it possible to have a regular polygon with at least one 100 Degree angle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Is it possible to have a regular polygon with at least one 100 Degree angle.
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If the polygon is regular all of the angles are equal.
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If at least one angle is >= 100 the corresponding exterior
angles are <= 80.
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Let the exterior angle be "x" where 0< x <80
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Fact: The sum of the exterior angles is 360.
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# of sides = 360/x >= 4.5
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For example: if there are 5 sides the exterior angles are 360/5 = 72 degrees
and the interior angles are each 180-72 = 108 degrees.
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All regular polygons with 5 or more sides have interior
angles greater than 100 degrees.
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Cheers,
Stan H.
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