SOLUTION: Each exterior angle in a regular n-gon measures more than 15 degrees. Find the maximum value of n

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Question 1006517: Each exterior angle in a regular n-gon measures more than 15 degrees. Find the maximum value of n
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let y = the exterior angle.
if each exterior angle in a regular n-gon measures more than 15 degrees, then
y%3E15
since the exterior angle is equal to y=360%2Fn , we will have
360%2Fn%3E15+
360%3E15n
n%3C24
so, first regular n-gon with an exterior angle measures more than 15 degrees the maximum value of n=23