SOLUTION: The measure of one exterior angle of a regular polygon is 24 degrees find the number of sides of the polygon?

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Question 1115046: The measure of one exterior angle of a regular polygon is 24 degrees find the number of sides of the polygon?
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the exterior angles of a polygon equal 360. And 360/24 = 15 so your polygon has 15 sides.

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer.   The number of sides of the polygon  =  360%5Eo%2F24%5Eo  =  15. 

HINT.  For any n-sided regular polygon the sum of its exterior angles is equal to 360 degrees.