kaywashere202
kaywashere202 kaywashere202
  • 04-12-2019
  • Mathematics
contestada

Please answer quick guys! 3. Given LJ ≅ MK, and LK ≅ MJ, prove ∠L ≅ ∠M (Picture is below)

Please answer quick guys 3 Given LJ MK and LK MJ prove L M Picture is below class=

Respuesta :

inchu420 inchu420
  • 10-12-2019

Answer:

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.

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