Question

which angles are vertical angles? ∠pqn and ∠rqs ∠pqs and ∠ron ∠mnl and ∠pqs ∠onq and ∠mnq

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• $\angle PQN$ and $\angle RQS$: These are not vertical angles as they are not formed by the intersection of the same two - line pairs.
• $\angle PQS$ and $\angle RQN$: These are not vertical angles.
• $\angle MNL$ and $\angle PQS$: These are not vertical angles.
• $\angle ONQ$ and $\angle MNQ$: $\angle ONQ$ and $\angle MNQ$ are vertical angles since they are formed by the intersection of lines $MO$ and $LS$ and are opposite each other at the intersection point $N$.

Answer:

$\angle ONQ$ and $\angle MNQ$