Answer: it is angle LKH and angle JKM
Explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!