Question 217754: Each angle of a regular polygon measures 174 degrees. How many sides does it have?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Remember the formula for the sum of the interior angles of a polygon is
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(n-2) * 180,,,,,,,,,,,,,,for a triangle with 3 sides,,,,(3-2)(180)=180,,,,ok
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however the individual angles is the sum / n,,,,,,or
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(n-2(180)/n
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applying this to 174
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(n-2)(180)/n = 174
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(n-2)(180) = 174 n
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180n -360 =174n
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6n = 360
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n=60,,,,,,answer
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check,,,(n-2) (180) /n = 58 *180 / 60 = 174,,,,ok
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