SOLUTION: the perimeter od a polygon is 72 feet. An exterior angle of the polygon is 30 degrees. what is the length of each side? so far i have 8(180)-360/8 to find the interior angle and i

Question 456232: the perimeter od a polygon is 72 feet. An exterior angle of the polygon is 30 degrees. what is the length of each side? so far i have 8(180)-360/8 to find the interior angle and i got 135 degrees which i dont think is right
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the perimeter of a polygon is 72 feet. An exterior angle of the polygon is 30 degrees. what is the length of each side?
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Fact: The sum of the exterior angles is 360 degrees.
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I am going to assume the polygon is a regular polygon (all sides
are equal).
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There are 360/30 = 12 exterior angles of size 30 degrees.
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Therefore there are 12 equal sides.
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The length of one side is 72/12 = 6 feet
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cheers,
Stan H
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