Question

which angles are vertical angles? ∠qro and ∠srt ∠qro and ∠pom ∠qro and ∠nom ∠qro and ∠sro

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

Step2: Analyze each option

• For $\angle QRO$ and $\angle SRT$, they are adjacent angles formed by the intersection of line $TS$ and line $QS$, not vertical angles.
• For $\angle QRO$ and $\angle POM$, line $QS$ and line $NP$ are parallel, and these angles are not vertical - angle pairs.
• For $\angle QRO$ and $\angle NOM$, when line $TS$ intersects line $NP$ at point $O$ and line $QS$ is parallel to line $NP$, $\angle QRO$ and $\angle NOM$ are corresponding angles, not vertical angles.
• For $\angle QRO$ and $\angle SRO$, they are adjacent angles, not vertical angles.

There is an error in the given options as none of them represent vertical - angle pairs. If we consider the intersection of lines, vertical angles would be formed at the intersection points. For example, if we consider the intersection of line $TS$ and line $NP$ at point $O$, vertical - angle pairs would be angles like $\angle NOM$ and $\angle TOP$, $\angle NO T$ and $\angle MOP$. But based on the given options, we assume there might be a mis - understanding in the problem setup. However, if we had to choose based on the concept, we need to find angles that are opposite each other at an intersection. Since the given options do not have such pairs, we note the correct concept.

Answer:

None of the given options are vertical angles.