Question

which angles are alternate interior angles? ∠mnq and ∠rqs ∠mnq and ∠rqn ∠mnq and ∠onl ∠mnq and ∠mnl

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two parallel lines. They are non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle MNQ$ and $\angle RQS$, they are not alternate - interior angles as they are not in the correct position with respect to the parallel lines and transversal.
• For $\angle MNQ$ and $\angle RQN$, they are alternate - interior angles. They are between the two lines $MO$ and $PR$ and on opposite sides of the transversal $LS$.
• For $\angle MNQ$ and $\angle ONL$, they are vertical angles, not alternate - interior angles.
• For $\angle MNQ$ and $\angle MNL$, they are adjacent angles, not alternate - interior angles.

Answer:

$\angle MNQ$ and $\angle RQN$