If the measure of one exterior angle of a regular polygon is 36 degrees, how many sides does the polygon have?

Expert Answers

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The sum of the exterior angles of any regular polygon is 360 degrees.

The exterior angles of a regular polygon are also equal.

Allow s to represent the number of sides of the polygon.

Therefore...

36s = 360

s = 10

Answer:  The polygon has 10 sides.

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