en th SolutionIn the figure You can easily see that LK FG

Solution

In the figure ,

You can easily see that LK || FG,

< LKF = <KFG ( alternate angles)

Then, you can easily apply SAS congruency

As LK = FG

< LKF = < KFG

& FK is common.

Thus , LKF = GFK

Also, in your answer you have written a wrong order of congruency.

Rate me if it helps.

Thanks