Answer:
18 sides
Explanation:
The sum of the interior angle of a polygon is determined using the formula:
[tex]\begin{gathered} \text{Sum}=(n-2)180\degree \\ \text{Where n=the number of sides} \end{gathered}[/tex]Therefore, we have that:
[tex]180(n-2)=2880[/tex]Begin solving the equation for n by dividing both sides by 180.
[tex]\begin{gathered} \frac{180(n-2)}{180}=\frac{2880}{180} \\ n-2=16 \end{gathered}[/tex]Next, add 2 to both sides of the equation:
[tex]\begin{gathered} n-2+2=16+2 \\ n=18 \end{gathered}[/tex]The polygon must have 18 sides.
