Question

oq and rt are parallel lines. which angles are alternate interior angles? ∠ops and ∠rsu ∠ops and ∠tsu ∠ops and ∠tsp ∠ops and ∠qps

Explanation:

Step1: Recall alternate interior angles definition

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 \(\angle OPS\) and \(\angle RSU\): \(\angle RSU\) is not between the parallel lines \(OQ\) and \(RT\).
• For \(\angle OPS\) and \(\angle TSU\): \(\angle TSU\) is not between the parallel lines \(OQ\) and \(RT\).
• For \(\angle OPS\) and \(\angle TSP\): \(\angle OPS\) and \(\angle TSP\) lie between the parallel lines \(OQ\) and \(RT\) and on opposite sides of the transversal \(NU\).
• For \(\angle OPS\) and \(\angle QPS\): They are adjacent angles, not alternate interior angles.

Answer:

\(\angle OPS\) and \(\angle TSP\)