SOLUTION: Each exterior angle of the regular n-gon has a measure of 5 degrees. find n

Question 1136769: Each exterior angle of the regular n-gon has a measure of 5 degrees. find n
Answer by ikleyn(52775) (Show Source): You can put this solution on YOUR website!
.

Use the fact that the sum of all interior angles of any (convex) polygon is equal to 360 degrees.


It gives you an equation


    n*5 = 360,


with the solution


    n = 360/5 = 72.      ANSWER

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