SOLUTION: The sum of the interior angles of a polygon is 6300 how many sides does the polygon have?

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Question 670029: The sum of the interior angles of a polygon is 6300 how many sides does the polygon have?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
What is the sum of a polygons interior angle?
if the number of sides is n, then it will be
%28n+-+2%29%2A180+=+sum_+of_+interior_+angles

in your case sum_+of_+interior_+angles=6300, so

%28n+-+2%29%2A180+=+6300.......solve for n

180n+-+360+=+6300
180n+=+6300%2B360
180n+=+6660
n+=+6660%2F180
n+=+37.....so, the sum of the interior angles of a polygon with 37 sides is 6300 degrees