SOLUTION: If the measure of each interior angle of a regular polygon is five times the measure of each exterior angle, how many sides does the polygon have ?

Question 568483: If the measure of each interior angle of a regular polygon is five times the measure of each exterior angle, how many sides does the polygon have ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the measure of each interior angle of a regular polygon is five times the measure of each exterior angle, how many sides does the polygon have ?
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ext + int = 180 degrees
int = 5*ext
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ext + 5ext = 180
est = 30 degrees
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sum of the exterior angles is 360
# of exterior = 360/30 = 12
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# of sides is 12
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Cheers,
Stan H.
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