Each of the interior angles of a regular polygon is 150°. How many sides does the polygon have?

Each of the interior angles of a regular polygon is 150°. How many sides does the polygon have? or:Each of the interior angles of a regular polygo

Each of the interior angles of a regular polygon is 150°. How many sides does the polygon have?

or:Each of the interior angles of a regular polygon is 150\u00b0. How many sides does the polygon have?

or:The exterior angle is the supplement of the interior angle, so it is 30\u00b0. Now if you slide a ruler around the figure you see that it rotates 360\u00b0. So all the exterior angles must sum to 360\u00b0 no matter what. Given a regular polygon, all the exterior angles are equal. So 360/30=12 sides.

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