Answer:
The Proof is given below.
Explanation:
Given:
LJ ≅ MK
LK ≅ MJ
To Prove:
∠ L ≅ ∠ M
Proof:
In Δ LKJ and Δ MJK
LK ≅ MJ ……….{Given}
KJ ≅ KJ ………..{Reflexive Property}
LJ ≅ MJ ……….{Given}
Δ LKJ ≅ Δ MJK ....….{Side-Side-Side test}
∴∠ KLJ ≅ ∠ JMK .....{corresponding angles of congruent triangles (c.p.ct)}
i.e ∠ L ≅ ∠ M ............Proved.