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

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