In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS? ∠J ≅ ∠M ∠L ≅ ∠R ∠K ≅ ∠N ∠R ≅ ∠K

According to SAS theorem which means Side Angle Side,

The angle which is included between the two sides must be congruent.

Here we are given that

KL = NR

JL = MR

Now in the figure we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.

So for the triangles to be congruent by SAS, angle L must be congruent to angle R.

∠L=∠R

Second option is the right answer.

Did you ever figure the answer out?