Question

select all the pairs of vertical angles.
m
o
n
p
q
s
r
t
∠por and ∠nom
∠qro and ∠srt
∠nor and ∠pom
∠nom and ∠qrt

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze the intersections

At the intersection of lines $NP$ and $MT$ at point $O$, $\angle NOR$ and $\angle POM$ are vertical angles, and $\angle NOM$ and $\angle POR$ are vertical angles.
At the intersection of lines $QS$ and $MT$ at point $R$, $\angle QRO$ and $\angle SRT$ are vertical angles, and $\angle QRT$ and $\angle SRO$ are vertical angles.

Answer:

$\angle POR$ and $\angle NOM$, $\angle QRO$ and $\angle SRT$, $\angle NOR$ and $\angle POM$