SOLUTION: What is the interior angle sum of a 30-sided Polygon- show the formula. (its an extra credit question for tonight)

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Question 18501: What is the interior angle sum of a 30-sided Polygon- show the formula.
(its an extra credit question for tonight)

Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
For a polygon with n sides,
exterior angle=360/n
so for a 30-side polygon,
ext angle=360/30=12 degrees


Now,
interior angle=180-exterior angle
So for 30-sided polygon,
int angle=180-12=168 degrees


Sum of int angles of a polygon=
%28n%2A%28180-%28360%2Fn%29%29%29
=n*int angle
=30*168
=5040 degrees


Hope this helps,
Prabhat