SOLUTION: The exterior angle of a regular polygon is (2x + 2) degrees and its interior angle is (9x - 9) degrees. How many sides does the polygon have?

Algebra ->  Polygons -> SOLUTION: The exterior angle of a regular polygon is (2x + 2) degrees and its interior angle is (9x - 9) degrees. How many sides does the polygon have?      Log On


   



Question 1050853: The exterior angle of a regular polygon is (2x + 2) degrees and its interior angle is (9x - 9) degrees. How many sides does the polygon have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angle of a regular polygon is (2x + 2) degrees and its interior angle is (9x - 9) degrees. How many sides does the polygon have?
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The angles are supplementary::
(2x+2) + 9x-9 = 180
11x - 7 = 180
11x = 187
x = 17
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The exterior angle = 2x+2 = 36
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# of sides = 360/36 =10
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Cheers,
Stan H.
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