Question

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

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• Option 1: $\angle MNL$ and $\angle ONL$: These are adjacent angles, not alternate exterior.
• Option 2: $\angle MNL$ and $\angle PQS$: $\angle MNL$ is outside $MO$ (above), $\angle PQS$ is outside $PR$ (below), and they are on opposite sides of transversal $LS$. Check if they fit: $MO \parallel PR$, transversal $LS$. $\angle MNL$ is exterior to $MO$ - $PR$ lines, $\angle PQS$ is exterior to $MO$ - $PR$ lines, and on opposite sides of transversal.
• Option 3: $\angle MNL$ and $\angle MNQ$: These are adjacent or form a linear pair? No, they are not alternate exterior.
• Option 4: $\angle MNL$ and $\angle RQS$: $\angle RQS$ is adjacent to $\angle PQS$, but $\angle RQS$ and $\angle MNL$: $\angle RQS$ is on the same side? Wait, $\angle RQS$ is inside or outside? $\angle RQS$ is at $Q$, on $PR$ line. Wait, no: $\angle PQS$ is below $PR$, $\angle RQS$ is above? Wait, no, let's re - check. The transversal is $LS$. For $\angle MNL$ (at $N$, above $MO$), alternate exterior should be at $Q$, below $PR$, on the other side of transversal. $\angle PQS$ is at $Q$, below $PR$, and on the opposite side of transversal from $\angle MNL$. $\angle RQS$: let's see, $\angle RQS$ is at $Q$, on the same side as $\angle ONL$? No. So $\angle MNL$ and $\angle PQS$ fit the definition of alternate exterior angles.

Answer:

$\angle MNL$ and $\angle PQS$