SOLUTION: In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon?

Question 822748: In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon?
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Let the exterior angle be "x"
Then the interior angle is 180-x
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180-x/x = 7/2
7x = 360-2x
5x = 360
x = 72 degrees
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# of sides = # of exterior angles = 360/72 = 5
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Cheers,
Stan H.
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