SOLUTION: What is the number of sides of a regular polygon if each interior angle measure is 5 times the measure of each exterior angle

Question 403248: What is the number of sides of a regular polygon if each interior angle measure is 5 times the measure of each exterior angle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the number of sides of a regular polygon if each interior angle measure is 5 times the measure of each exterior angle
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An interior/exterior pair is supplementary.
x + 5x = 180
6x = 180
x = 30 (the exterior angle)
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The sum of all the exterior angles is 360.
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# of exterior angles is 360/30 = 12
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Therefore # of sides = 12
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Cheers,
Stan H.
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