Question

mo and pr are parallel lines. which angles are alternate interior angles? ∠rqn and ∠rqs ∠mnq and ∠onl ∠mnq and ∠rqn ∠rqs and ∠onq

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For \(\angle RQN\) and \(\angle RQS\): These angles are adjacent, so they are not alternate interior angles.
• For \(\angle MNQ\) and \(\angle ONL\): These are vertical angles, not alternate interior angles.
• For \(\angle MNQ\) and \(\angle RQN\): These angles are on the same side of the transversal, not alternate interior angles.
• For \(\angle RQS\) and \(\angle ONQ\): Since \(\overleftrightarrow{MO}\parallel\overleftrightarrow{PR}\) and \(\overleftrightarrow{LS}\) is the transversal, \(\angle RQS\) and \(\angle ONQ\) are non - adjacent, lie between the parallel lines \(MO\) and \(PR\) and on opposite sides of the transversal \(LS\).

Answer:

\(\angle RQS\) and \(\angle ONQ\)