Question

which angles are corresponding angles? ∠qpn and ∠qps ∠qpn and ∠rsp ∠qpn and ∠tsu ∠ops and ∠rsu

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When a transversal intersects two parallel lines, corresponding angles are congruent.

Step2: Analyze each option

• $\angle QPN$ and $\angle QPS$ are adjacent angles, not corresponding angles.
• $\angle QPN$ and $\angle RSP$: $\angle QPN$ and $\angle RSP$ are corresponding angles as they are in the same relative position with respect to the transversal $UN$ and the parallel lines $RO$ and $TQ$.
• $\angle QPN$ and $\angle TSU$ have no such corresponding - angle relationship.
• $\angle OPS$ and $\angle RSU$ are not corresponding angles.

Answer:

$\angle QPN$ and $\angle RSP$