Answer
We have two adjacent angles on each triangle congruent to one another, so we can say that $\triangle RNM$ ~ $\triangle PNQ$ because of the Angle-Angle (AA) Similarity Theorem.
Work Step by Step
In the diagram, $\angle R$ and $\angle P$ are marked as congruent.
$\angle RNM ≅ \angle PNQ$ because they are vertical angles, and vertical angles are congruent.
Now, we have two adjacent angles on each triangle congruent to one another, so we can say that $\triangle RNM$ ~ $\triangle PNQ$ because of the Angle-Angle (AA) Similarity Theorem.
