SOLUTION: The sum of the measures of the vertex angles of a certain polygon is 2880. How many sides does the polygon have? I got the answer as 18, but I am not entirely sure how.

Question 843190: The sum of the measures of the vertex angles of a certain polygon is 2880. How many sides does the polygon have? I got the answer as 18, but I am not entirely sure how.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the sum of the vertex angles is 2880.
the sum of the angles of a polygon is given by the equation:
S = (n-2)*180

you have S.
you need to solve for n.

your equation is:

2880 = (n-2) * 180
divide both sides of this equation by 180 to get:
16 = n-2
add 2 to both sides of the equation to get:
n = 18

your answer is correct.
the formula to use is:
S = (n-2) * 180

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