SOLUTION: Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon.

Question 558206: Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon.
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Exterior: x
Interior: 4x
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x + 4x = 180
x = 36 degrees
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Sum of ALL exterior angles is 360 degrees.
# of exterior angles = 360/36 = 10
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# of sides = 10
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Cheers,
Stan H.
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