Question 39

The interior angle of a regular polygon is 150 degrees. The polygon is a/an:

Solution

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Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees.  Exterior angles of any polygon always add up to 360. With the polygon being regular, we can just divide 360 by 30 to get 12 sides.

Also, a geometric figure with 12 sides is called a dodecagon.



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