SOLUTION: Pls help me with this question: Each interior angle of a regular n-gon is 168. Calculate the value of n.

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Question 117070: Pls help me with this question: Each interior angle of a regular n-gon is 168. Calculate the value of n.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the formula to find the interior angle of any n-gon is

Interior_Angle=180%28n-2%29%2Fn


So set this expression equal to 168


180%28n-2%29%2Fn=168


180%28n-2%29=168nMultiply both sides by n


180n-360=168n Distribute


180n=168n%2B360Add 360 to both sides


180n-168n=%2B360 Subtract 168n from both sides


12n=360 Combine like terms on the left side


n=%28360%29%2F%2812%29 Divide both sides by 12 to isolate n



n=30 Divide

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Answer:
So our answer is n=30


So this means the polygon with an interior angle of 168 degrees has 30 sides