SOLUTION: A regular polygon with 3x sides has its interior angle 40° greater than the interior angle of another polygon with x sides. Find x.

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Question 1177927: A regular polygon with 3x sides has its interior angle 40° greater than the interior angle of another polygon with x sides.
Find x.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angle of a regular N-gon is 360/N, and the interior angle is
just 180-(360/N):

+180+-+%28360%2F%283x%29%29+ = +%28180+-+%28360%2Fx%29%29+%2B+40+

Solving for x you will get
+x=6+