SOLUTION: An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have?
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Question 626636: An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have?
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Let the interior angle be "4x".
Then the exterior angle will be "x".
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Equation: x + 4x = 180
5x = 180
x = 36 degrees (measure of each exterior angle)
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The sum of all of the exterior angles is always 360 degrees.
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# of sides = # of exterior angles = 360/36 = 10
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Cheers,
Stan H.
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