Question

which angles are supplementary angles? ∠pom and ∠qrt ∠sro and ∠pom ∠nor and ∠por ∠nom and ∠qro

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees.

Step2: Analyze each option

For two - lines intersecting, adjacent angles on a straight - line are supplementary. In the given figure, when two lines intersect, angles that form a linear pair are supplementary.
Let's consider the properties of angles formed by intersecting lines. When two lines intersect, the adjacent angles (angles that share a common side and a common vertex) are supplementary.
For example, if we consider the intersection of two lines at a point, the angles around that point which are adjacent and form a straight - line (180 degrees) are supplementary.
In the given options, we need to find pairs of angles that are adjacent and form a straight - line.
Looking at the figure, we know that $\angle NOP$ is a straight - line. $\angle NOM$ and $\angle MOP$ form a linear pair and are supplementary. Also, if we consider the intersection of the two lines at point $R$, $\angle QRO$ and $\angle ORS$ form a linear pair.
However, among the given options, we note that $\angle NOP$ is a straight - line. $\angle NOM$ and $\angle QRO$ are not adjacent in the way that they form a linear pair directly.
Let's assume the intersection of the two lines at point $O$. $\angle POM$ and $\angle QRT$ have no relation to form a linear pair. $\angle SRO$ and $\angle POM$ also do not form a linear pair.
$\angle NOR$ and $\angle POR$ are adjacent angles on the straight - line $\angle NOP$. Their sum is 180 degrees.

Answer:

$\angle NOR$ and $\angle POR$