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

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) (Show Source): You can put this solution on YOUR website!
Remember, the formula to find the interior angle of any n-gon is

So set this expression equal to 168

Multiply both sides by n

Distribute

Add 360 to both sides

Subtract 168n from both sides

Combine like terms on the left side

Divide both sides by 12 to isolate n

Divide

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Answer:
So our answer is

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