Answer
Yes, these triangles are similar.
$\triangle FGH$ ~ $\triangle KJH$ using the AA Similarity Postulate.
Work Step by Step
We can compare angles in both triangles in this exercise. Let's see if the Angle-Angle Similarity Postulate can be applied here:
$\angle FHG ≅ \angle KHJ$ because they are vertical angles, and vertical angles are congruent.
$\angle F ≅ \angle K$ because they are alternate interior angles made by a transversal intersecting two parallel lines.
Thus, $\triangle FGH$ ~ $\triangle KJH$ using the AA Similarity Postulate.
