SOLUTION: One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measures?
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Question 888029: One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measures?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measures?
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Sum of exterior angle = 360 degrees.
# of exterior angles in your problem = 360/36 = 10
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# of sides of the polygon = 10
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Sum of interior angles = (n-2)180 = 8*180 = 1440 degrees
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Cheers,
Stan H.
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