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Mathematics 17 Online
OpenStudy (anonymous):

Assume that the measure of a vertex angle in a regular polygon is 157.5 degrees. Determine how many sides the polygon has.

Directrix (directrix):

16 sides The sum of the exterior angles of a convex polygon is 360. An exterior angle forms a linear pair with an interior angle. Because the interior angles are congruent, the exterior angles also are. 180 - 157.5 = 22.5. 360/ 22.5 = 16

OpenStudy (anonymous):

Thanks!

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