please i need help proving the statement that's it . I know the other statements and reasons. I just don't know how to prove that one.

Answer:
make use of the corresponding angles theorem and the transitive property
Step-by-step explanation:
In the given diagram, you want to prove ∠GJI≅∠LKF.
2. ∠GJI≅∠CLH . . . . corresponding angles are congruent
3. ∠CLH≅∠LKF . . . . corresponding angles are congruent
4. ∠GJI≅∠LKF . . . . transitive property of congruence
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Additional comment
The transitive property tells you ...
if A≅B and B≅C, then A≅C.