SOLUTION: Find the number of sides of a regular polygon if the measure of each interior angle is 17 times the measure of each exterior angle.

Question 561586: Find the number of sides of a regular polygon if the measure of each interior angle is 17 times the measure of each exterior angle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the number of sides of a regular polygon if the measure of each interior angle is 17 times the measure of each exterior angle.
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interior angle: 17x
exterior angle: x
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Equation:
x + 17x = 180
18x = 180
x = 10 degrees
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Sum of ALL the exterior angles is 360 degrees
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# of exterior angles = 360/10 = 36
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# of sides = # of exterior angles = 36
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Cheers,
Stan H.
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