Question

oq and rt are parallel lines. which angles are supplementary angles? ∠qpn and ∠tsp ∠qpn and ∠ops ∠qpn and ∠rsu ∠qpn and ∠opn

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze the relationship between \(\angle QPN\) and \(\angle OPS\)

Since \(\overrightarrow{OQ}\) and \(\overrightarrow{RT}\) are parallel lines and \(UN\) is a transversal. \(\angle QPN\) and \(\angle OPS\) form a linear - pair. A linear - pair of angles is formed when two adjacent angles are formed by two intersecting lines. The sum of angles in a linear - pair is \(180^{\circ}\).

Answer:

\(\angle QPN\) and \(\angle OPS\)