SOLUTION: Calculate the number of sides of a regular polygon in which the exterior angle os one - fifth of the interior angle. Please show working.
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Question 597423: Calculate the number of sides of a regular polygon in which the exterior angle os one - fifth of the interior angle. Please show working. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Calculate the number of sides of a regular polygon in which the exterior angle is one - fifth of the interior angle. Please show working.
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Let the interior angle be "x"
Then the exterior angle is "x/5"
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Equation:
x + x/5 = 180 degrees
(6/5)x = 180
(1/5)x = 30 degrees
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Note: The sum of all the exterior angle = 360.
# of exterior angles = 360/30 = 12
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Therefore # of sides = 12
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Cheers,
Stan H.
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