Question

rq and rt are parallel lines. which angles are vertical angles? ∠qps and ∠tsu ∠qps and ∠rsu ∠qps and ∠tsp ∠qps and ∠opn

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines.

Step2: Analyze each option

• For \(\angle QPS\) and \(\angle TSU\): They are not formed by the intersection of the same two lines.
• For \(\angle QPS\) and \(\angle RSU\): They are not formed by the intersection of the same two lines.
• For \(\angle QPS\) and \(\angle TSP\): They are adjacent angles.
• For \(\angle QPS\) and \(\angle OPN\): They are formed by the intersection of line \(UN\) and line \(OQ\) (since \(RQ\parallel RT\), but the key is the intersection of \(UN\) and \(OQ\) at point \(P\)). They are non - adjacent angles formed by the intersection of two lines.

Answer:

\(\angle QPS\) and \(\angle OPN\)