Let
S------> The sum of the measures of the interior angles of a polygon
n-------> number of sides of a polygon
we know that
The formula to find the sum of the measures of the interior angles of a polygon is equal to
[tex] S=(n-2)*180 [/tex]°
in this problem
[tex] S=2880 [/tex]°
Solve for n
[tex] S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides [/tex]
therefore
the answer is
[tex] 18\ sides [/tex]
