SOLUTION: The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?

Question 719464: The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
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Let the interior angle be 2x; Let the exterior angle be "x":
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X + 2x = 180
3x = 180
x = 60 degrees (each exterior angle)
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The sum of the exterior angles is 360 degrees
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# of exterior angles = 360/60 = 6
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# of sides = 6
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Cheers,
Stan H.
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