SOLUTION: how to find n in the fomula 180(n-2)/n when the measure of one interior angle is 140.

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Question 277284: how to find n in the fomula 180(n-2)/n when the measure of one interior angle is 140.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28180%28n-2%29%29%2Fn=140 First set the given formula equal to the given interior angle measurement.


180%28n-2%29=140n Multiply both sides by 'n'


180n-360=140n Distribute.


180n=140n%2B360 Add 360 to both sides.


180n-140n=360 Subtract 140n from both sides.


40n=360 Combine like terms on the left side.


n=%28360%29%2F%2840%29 Divide both sides by 40 to isolate n.


n=9 Reduce.


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Answer:

So the solution is n=9