Question

no and pr are parallel lines. which angles are alternate exterior angles? ∠rqs and ∠mnl ∠rqs and ∠onl ∠rqs and ∠pqs ∠rqs and ∠mnq

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle RQS\) and \(\angle MNL\): \(\angle MNL\) is not in the correct position relative to \(\angle RQS\) to be an alternate exterior angle.
• For \(\angle RQS\) and \(\angle ONL\): \(\angle ONL\) is not in the correct position relative to \(\angle RQS\) to be an alternate exterior angle.
• For \(\angle RQS\) and \(\angle PQS\): These are adjacent angles (they share a common side \(QS\)), so they are not alternate exterior angles.
• For \(\angle RQS\) and \(\angle MNQ\):
• \(PR\parallel MO\) (given as parallel lines) and \(SL\) is the transversal.
• \(\angle RQS\) lies outside \(PR\) and \(\angle MNQ\) lies outside \(MO\), and they are on opposite sides of the transversal \(SL\).

Answer:

\(\angle RQS\) and \(\angle MNQ\)