Question

which angles are consecutive interior angles? ∠mnl and ∠pqs ∠mnl and ∠rqn ∠mnl and ∠onl ∠mnq and ∠pqn

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• For $\angle MNL$ and $\angle PQS$: $\angle PQS$ is not between the two lines formed by $\overleftrightarrow{PO}$ and $\overleftrightarrow{MR}$, so they are not consecutive - interior angles.
• For $\angle MNL$ and $\angle RQN$: $\angle RQN$ is not between the two lines formed by $\overleftrightarrow{PO}$ and $\overleftrightarrow{MR}$, so they are not consecutive - interior angles.
• For $\angle MNL$ and $\angle ONL$: $\angle ONL$ and $\angle MNL$ are adjacent angles, not consecutive - interior angles.
• For $\angle MNQ$ and $\angle PQN$: $\angle MNQ$ and $\angle PQN$ lie between lines $\overleftrightarrow{PO}$ and $\overleftrightarrow{MR}$ and on the same side of transversal $\overleftrightarrow{SL}$. They are consecutive - interior angles.

Answer:

$\angle MNQ$ and $\angle PQN$