SOLUTION: Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygo

Question 503513: Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have? Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have?
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Each exterior/interior pair are supplementary.
Let the exterior angle be "x".
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x + 3x = 180
4x = 180
x = 45 degrees
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The sum of all the exterior angles is 360 degrees.
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# of exterior degrees = 360/45 = 8
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# of sides = # of extgerior angles = 8
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Cheers,
stan H.
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