Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check vertical angles

$\angle GFH=\angle JFK$ (vertical angles are equal).

Step2: Analyze given information

We know one pair of sides are equal (marked), one pair of angles are equal ($\angle G=\angle J$, marked), and one pair of angles ($\angle GFH=\angle JFK$ from Step 1). But we don't have information about the other sides. There is no congruence criterion (like SSS, SAS, ASA, AAS) that can be applied with the given information.

Answer:

No, we cannot conclude that the triangles are congruent.