Answer:
I think everything you have selected already is correct
Explanation:
triangle FGK is congruent to triangle FJK by the SSA Theorem
Angle GKH is congruent to JKH since they are apart of two triangles that are known to be congruent by the SSA Theorem
Angle GFH is congruent to JFH because they are on triangles that are congruent by the SSS Theorem
Then line FG and line KG cannot be proven to be congruent since they are of no correlation to each other
I hope this helps, sorry if I am incorrect