Answer quick guys! 3. given lj ≅ mk, and lk ≅ mj, prove ∠l ≅ ∠m (picture is below)

The Proof is given below.

Step-by-step 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.

your answer would be 12

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