SOLUTION: one angle of a regular polygon is 150 degrees , how many sides does this polygon have?

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Question 621880: one angle of a regular polygon is 150 degrees , how many sides does this polygon have?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angle is 180-150 = 30 degrees.

The sum of the exterior angles in any polygon is 360. Each exterior angle in this regular polygon is 30 degrees, so the number of angles (=sides) is 360/30 = 12.