Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check vertical angles

$\angle NMP$ and $\angle QMS$ are vertical angles. Vertical angles are equal, so $\angle NMP=\angle QMS$.

Step2: Check congruence criteria

We have $\angle N=\angle Q$ (given as marked angles), $NP = QS$ (given as marked sides), and $\angle NMP=\angle QMS$ (from Step 1). By the Angle - Side - Angle (ASA) congruence criterion, $\triangle NMP\cong\triangle QMS$.

Answer:

yes