SOLUTION: find the number of sides an equiangluar polygon has if each of its angles is 144 degrees. i need to know what formula i can use to work this problem out and the answer

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Question 391116: find the number of sides an equiangluar polygon has if each of its angles is 144 degrees.
i need to know what formula i can use to work this problem out and the answer

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of an n-sided polygon is 180%28n-2%29 (this is because we can draw n-2 non-overlapping triangles within the polygon). Therefore the average measure of each angle is %28180%28n-2%29%29%2Fn. This is equal to 144 degrees, so set the two equal and solve.