Question

ΔABC and ΔDEF are two triangles in which
AB=DF, ∠ACB=70°, ∠ABC=60°; ∠DEF=70° and ∠EDF=60°.
Prove that the triangles are congruent.

Answer 1

AB=DF ......(given)
angle ACB= angle DEF
angle ABC=angleEDB
then in triangle abc congruent triangle ..... by SAA Test

Answer 2

ΔABC  ≅ ΔFDE  Triangles are congruent

Step-by-step explanation:

ΔABC and ΔDEF are two triangles in which

AB=DF, ∠ACB=70°, ∠ABC=60°; ∠DEF=70° and ∠EDF=60°.

∠ACB=70°, ∠ABC=60°  => ∠BAC = 50°

as sum of angles of triangle = 180°

Similarly

∠DEF=70° and ∠EDF=60°. => ∠DFE = 50°

∠EDF = ∠FDE  ( same angle)

DF = FD ( same side)

Now comparing

ΔABC and ΔDEF

∠ABC = ∠FDE =60°

∠ BAC =  ∠DFE = 50°

  AB  =  FD  

=> ΔABC  ≅ ΔFDE

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