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Mathematics 9 Online
OpenStudy (anonymous):

the measure of an exterior angle on a regular polygon is 12. how do i find the number of sides it has?

Directrix (directrix):

The sum of the exterior angle measure of a convex polygon is 360. Because this polygon is regular, the exterior angle measure are equiangular. 360 / 12 = 30 angles for each exterior angle. The adjacent interior angle is 150 but you don't need that for an answer. We know we have 30 exterior angles so there will be 30 sides for the regular polygon. Answer --> 30 sides

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