Question

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

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle ONQ\) and \(\angle MNQ\): They are adjacent angles, not alternate interior angles.
• For \(\angle ONQ\) and \(\angle ONL\): They are not in the correct position for alternate interior angles.
• For \(\angle ONQ\) and \(\angle MNL\): They are not alternate interior angles.
• For \(\angle ONQ\) and \(\angle PQN\): Since \(\overleftrightarrow{MO}\parallel\overleftrightarrow{PR}\) and \(\overleftrightarrow{SL}\) is the transversal, \(\angle ONQ\) and \(\angle PQN\) lie between the parallel lines \(\overleftrightarrow{MO}\) and \(\overleftrightarrow{PR}\) and on opposite sides of the transversal \(\overleftrightarrow{SL}\).

Answer:

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