Question

→oq and →rt are parallel lines.
which angles are corresponding angles?
∠opn and ∠tsp ∠tsu and ∠qps
∠qps and ∠tsp ∠tsu and ∠tsp

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are equal when two parallel lines are cut by a transversal. They occupy the same relative position at each intersection.

Step2: Analyze Each Pair

• For \( \angle OPN \) and \( \angle TSP \): Different relative positions, not corresponding.
• For \( \angle TSU \) and \( \angle QPS \): Same relative position (below transversal, left of parallel lines), so corresponding.
• For \( \angle QPS \) and \( \angle TSP \): Adjacent angles, not corresponding.
• For \( \angle TSU \) and \( \angle TSP \): Adjacent angles, not corresponding.

Answer:

\(\angle TSU\) and \(\angle QPS\)