Question

mo and pr are parallel lines. which angles are alternate exterior angles? ∠rqs and ∠pqn ∠rqs and ∠mnl ∠rqs and ∠pqs ∠rqn and ∠mnq

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle RQS$ and $\angle PQN$: $\angle RQS$ and $\angle PQN$ are vertical angles (opposite angles formed by the intersection of two lines), not alternate exterior angles.
• For $\angle RQS$ and $\angle MNL$: $\angle RQS$ and $\angle MNL$ are not in the correct position (not outside the parallel lines and on opposite sides of the transversal) to be alternate exterior angles.
• For $\angle RQS$ and $\angle PQS$: $\angle RQS$ and $\angle PQS$ are adjacent angles (share a common side and vertex), not alternate exterior angles.
• For $\angle RQN$ and $\angle MNQ$: Since $\overleftrightarrow{MO}$ and $\overleftrightarrow{PR}$ are parallel lines and $\overleftrightarrow{SL}$ is the transversal, $\angle RQN$ and $\angle MNQ$ lie outside the parallel lines $\overleftrightarrow{MO}$ and $\overleftrightarrow{PR}$ and on opposite sides of the transversal $\overleftrightarrow{SL}$, so they are alternate exterior angles.

Answer:

$\angle RQN$ and $\angle MNQ$