MCQ
In fig, if $AD = BC$ and $\angle\text{BAD} = \angle\text{ABC},$ then $\angle\text{ACB}$ is equal to:
  • $\angle\text{BDA}$
  • B
    $\angle\text{BAC}$
  • C
    $\angle\text{ABD}$
  • D
    $\angle\text{BAD}$

Answer

Correct option: A.
$\angle\text{BDA}$
The two triangles are congruent according to ($SAS \ CONGRUENCY$) as $AD = BC$ (given), $\angle\text{BAD} = \angle\text{ABC},$ (given) and $AB = AB$ (common) and hence corresponding angles are equal (cpct).

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