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) (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:
where n = the number of sides and in this problem, S = 2880, so...
Divide both sides by 180.
Add 2 to both sides.
The polygon has 18 sides.
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