Answer
8 sides.
Work Step by Step
For a polygon with $n$ sides, the sum of the angle measures is $S=(n-2)180^{\circ}$.
Given: $S=1080^{\circ}$
$\implies 1080=(n-2)180$
Dividing the above equation by $180$ and adding $2$ on both sides, we get
$\frac{1080}{180}+2=n$ or $n=8$.