MCQ
In Fig. the value of $x$ is:
  • $84$
  • B
    $74$
  • C
    $94$
  • D
    $57$

Answer

Correct option: A.
$84$

$\angle \text{CAD}=\angle \text{ABC}+\angle \text{ACB}$ [Exterior angle property]
$\Rightarrow 123^\circ = 39^\circ + \text{x}^\circ$
$\Rightarrow 84^\circ = \text{x}^\circ$
$\Rightarrow \text{x} = 84$
Hence, the correct answer is option $(a).$

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