Question

which angles are corresponding angles? ∠opn and ∠tsp ∠qps and ∠rsu ∠tsu and ∠qps ∠qpn and ∠rsu

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• For $\angle{OPN}$ and $\angle{TSP}$, they are not in the corresponding - angles position.
• For $\angle{QPS}$ and $\angle{RSU}$, they are not corresponding angles.
• For $\angle{TSU}$ and $\angle{QPS}$, they are not corresponding angles.
• For $\angle{QPN}$ and $\angle{RSU}$, $\angle{QPN}$ and $\angle{RSU}$ are in the same relative position at the intersections of the transversal $NU$ with the two lines $OQ$ and $RT$. They are corresponding angles.

Answer:

$\angle{QPN}$ and $\angle{RSU}$