SOLUTION: Given the measure of each interior angle of a regular n-gon,find the value of n. 175 degrees 175=(n-2)360/n 175n=(n-2)360 what do I do next?????

Algebra ->  Algebra  -> Polygons -> SOLUTION: Given the measure of each interior angle of a regular n-gon,find the value of n. 175 degrees 175=(n-2)360/n 175n=(n-2)360 what do I do next?????      Log On

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Question 39152: Given the measure of each interior angle of a regular n-gon,find the value of n.
175 degrees
175=(n-2)360/n
175n=(n-2)360
what do I do next?????

Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
The formula appears to be incorrect...should be
175 = [180(n-2) / n] not 360, so that
175n = 180(n-2)
175n = 180n - 360
-5n = -360
n = 72 sides