Question

mo and pr are parallel lines.
which angles are vertical angles?
∠rqs and ∠rqn ∠mnl and ∠rqs
∠mnq and ∠onq ∠mnq and ∠onl

Explanation:

To determine vertical angles, we recall that vertical angles are formed by two intersecting lines and are opposite each other (they share a common vertex and their sides are opposite rays).

• For $\angle RQS$ and $\angle RQN$: These share a common side and vertex but are adjacent (form a linear pair), not vertical.
• For $\angle MNL$ and $\angle RQS$: These are corresponding angles (due to parallel lines $MO \parallel PR$ and transversal $SL$), not vertical.
• For $\angle MNQ$ and $\angle ONQ$: These share a common side and vertex, forming a linear pair (adjacent), not vertical.
• For $\angle MNQ$ and $\angle ONL$: Lines $MO$ and $SL$ intersect at $N$. $\angle MNQ$ and $\angle ONL$ are opposite each other at the intersection, sharing vertex $N$ and having sides as opposite rays. Thus, they are vertical angles.

Answer:

$\angle MNQ$ and $\angle ONL$