SOLUTION: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.

Question 240151: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.
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An interior, exterior pair are always supplementary.
You have x + 5x = 180
6x = 180
x = 30
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The exterior angle is 30 degrees.
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Note: The sum of the exterior angles is always 360 degrees.
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# of exterior angles = 360/30 = 12
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# of sides = # of exterior angles = 12
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Cheers,
Stan H.
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