Question

which angles are alternate exterior angles? ∠mnl and ∠mnq ∠mnl and ∠rqn ∠mnl and ∠onq ∠mnl and ∠rqs

Explanation:

Step1: Recall definition of alternate - exterior angles

Alternate - exterior angles are two non - adjacent exterior angles on opposite sides of a transversal that intersects two lines.

Step2: Analyze each option

• $\angle MNL$ and $\angle MNQ$ are adjacent angles, not alternate - exterior angles.
• $\angle MNL$ and $\angle RQN$: $\angle MNL$ and $\angle RQN$ are non - adjacent exterior angles on opposite sides of the transversal $SL$ that intersects lines $PO$ and $RM$. They are alternate - exterior angles.
• $\angle MNL$ and $\angle ONQ$ are not in the correct position relative to the transversal and the two lines to be alternate - exterior angles.
• $\angle MNL$ and $\angle RQS$ are not alternate - exterior angles.

Answer:

$\angle MNL$ and $\angle RQN$