SOLUTION: Find the value of n for regular n-gon described. Each interior angle of the regular n-gon has a measure of 156 degrees.

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Question 586012: Find the value of n for regular n-gon described. Each interior angle of the regular n-gon has a measure of 156 degrees.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I = (180(n-2))/n

156 = (180(n-2))/n

156n = 180(n-2)

156n = 180n-360

156n - 180n = -360

-24n = -360

n = -360/(-24)

n = 15


So the solution is n = 15, which means that there are 15 sides.

So this is a 15-gon, which is known as a pendedecagon.
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