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The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

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rorycampbell0721

Answer:

60 sides

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is 180(n -2). The problem also tells you that each angle is 174, so the sum of the interior angles would also be 174n.

Then, you get the equation

180(n - 2) = 174n

180n - 360 = 174n

6n = 360

n = 60 sides.

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