SOLUTION: Each exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?

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Question 928671: Each exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Exterior angle of a regular polygon Ext.an.=360%2Fn
if Ext.an.=15, then
15=360%2Fn
n=360%2F15
n=24sides
remember:
The sum of measures of exterior angles of a polygon is always 360 degrees,irrespective of the no of sides.
But if you divide this sum of the exterior angles by the measure of one exterior angle of a regular polygon,you get the no of sides of the polygon.