SOLUTION: If the ratio of an interior angle to an exterior angle of a regular polygon is 5 to 1, how many sides does it have?
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Question 848106: If the ratio of an interior angle to an exterior angle of a regular polygon is 5 to 1, how many sides does it have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the ratio of an interior angle to an exterior angle of a regular polygon is 5 to 1, how many sides does it have?
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Each int/ext pair is supplementary.
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5 to 1 is the same as 5x to x
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Equation:
5x + x = 180
6x = 180
x = 30 degree (one exterio angle)
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Sum of the exterior angles is 360.
# of sides = 360/30 = 12
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Cheers,
Stan H.
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