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Verified Answer :

there are 18 sides.....

calculista

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

\(S=(n-2)*180\)°

in this problem

\(S=2880\)°

Solve for n

\(S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides\)

therefore

the answer is

\(18\ sides\)


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