Step-by-step explanation:
JK parallel LM , JL parallel to KM
Reason: given
∠JKL congruent ∠MLK
Reason: alternate angles are equal
Alternate Interior Angles Theorem
∠JLK congruent ∠MKL
alternate angles are equal
Reason: Alternate Interior Angles Theorem
KL congruent to LK
Reason: reflexive property
Triangle JKL congruent to triangle MLK
The two angles are congruent under the theorem angle-side-angle
Reason: ASA