SOLUTION: You are given the measure of each interior angle of a regular n-gon. Find the value of n.

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Question 591979: You are given the measure of each interior angle of a regular n-gon. Find the value of n.
Answer by richard1234(7193) About Me  (Show Source):
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Suppose x is the measure of each interior angle. Then each exterior angle measures 180-x. The exterior angles of any polygon add up to 360, so we divide this by 180-x to find the number of sides, i.e. we are dividing up 360 degrees into n "angles" each measuring 180-x:

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