Question

which is enough information to prove that u||v?

Explanation:

Step1: Recall parallel - line criteria

If corresponding angles are equal, lines are parallel. For example, if $\angle1=\angle5$ (corresponding angles), then $u\parallel v$. Also, if alternate - interior angles are equal (e.g., $\angle2 = \angle8$) or same - side interior angles are supplementary (e.g., $\angle2+\angle5 = 180^{\circ}$), $u\parallel v$.

Answer:

If $\angle1=\angle5$ or $\angle2=\angle8$ or $\angle2+\angle5 = 180^{\circ}$ etc. (any valid parallel - line condition), then $u\parallel v$.