SOLUTION: If the sum of the interior angles of a convex polygon is 2880 degrees, how many sides does the polygon have?

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Question 189396: If the sum of the interior angles of a convex polygon is 2880 degrees, how many sides does the polygon have?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the formula for the sum (S) of the interior angles of a convex polygon is given by:
S+=+%28n-2%29%2A180 where n = the number of sides and in this problem, S = 2880, so...
%28n-2%29180+=+2880 Divide both sides by 180.
n-2+=+16 Add 2 to both sides.
n+=+18
The polygon has 18 sides.