To determine the number of sides of a polygon given that the sum of its interior angles is 1080 degrees, we can use the formula for the sum of interior angles of a polygon. The formula is:
[tex]\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\][/tex]
where [tex]\( n \)[/tex] is the number of sides of the polygon.
Given that the sum of the interior angles is 1080 degrees, we can set up the equation:
[tex]\[
(n - 2) \times 180 = 1080
\][/tex]
First, solve for [tex]\( n - 2 \)[/tex]:
[tex]\[
n - 2 = \frac{1080}{180}
\][/tex]
Calculate the division:
[tex]\[
n - 2 = 6
\][/tex]
Next, solve for [tex]\( n \)[/tex]:
[tex]\[
n = 6 + 2
\][/tex]
[tex]\[
n = 8
\][/tex]
Therefore, the polygon has 8 sides. Hence, from the given options, the correct answer is:
[tex]\[
\boxed{8}
\][/tex]
