Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check vertical angles

$\angle NJP=\angle KJM$ (vertical angles are equal).

Step2: Check for congruent triangles

In $\triangle NPJ$ and $\triangle MKJ$, we have $\angle N=\angle M$, $\angle NJP=\angle KJM$, but there is no information about the lengths of the sides. We need at least one pair of corresponding sides to be equal (like in ASA or AAS or SSS or SAS congruence criteria). Since we don't have that information here.

Answer:

no