Question

which angles are alternate interior angles? ∠pqs and ∠rqn ∠onq and ∠pqn ∠onl and ∠mnq ∠rqs and ∠mnq

Explanation:

Step1: Recall definition of alternate - interior angles

Alternate - interior angles are pairs of angles between two parallel lines and on opposite sides of a transversal.

Step2: Analyze each option

For the lines \(PR\) and \(MO\) with transversal \(SL\):

• \(\angle PQS\) and \(\angle RQN\) are not alternate - interior angles.
• \(\angle ONQ\) and \(\angle PQN\) are between the lines \(PR\) and \(MO\) and on opposite sides of the transversal \(SL\), so they are alternate - interior angles.
• \(\angle ONL\) and \(\angle MNQ\) are vertical angles.
• \(\angle RQS\) and \(\angle MNQ\) are not alternate - interior angles.

Answer:

\(\angle ONQ\) and \(\angle PQN\)