Question

Which postulate can be used to prove JLK and MKL are congruent if JK and LM are congruent and parallel.

Answer 1

If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent.

:)

Answer 2

It will be SAS criterion rule
Since,
LM=JK. (Given)
Angel MLK=angle JKL (since LMparallel JK)
LK=LK(common side)
So triangle JKL congruent to triangle MKL