MCQ
In Fig. the value of $x$ is:
  • A
    $72^\circ$
  • B
    $50$
  • $58$
  • D
    $48$

Answer

Correct option: C.
$58$

$\angle \text{A}+\angle \text{B}+\angle \text{C}=180^\circ$ [Angle sum property of triangle]
$ \Rightarrow 50^\circ+72^\circ+\angle \text{C}=180^\circ$
$\Rightarrow \angle \text{C}+122^\circ=180^\circ$
$\Rightarrow \angle \text{C}=58^\circ$
Now, $\text{x}^\circ=\angle\text{C}$ [Vertically opposite angles]
$\Rightarrow \text{x}^\circ= 58^\circ$
$\Rightarrow \text{x}=58$
Hence, the correct answer is option $(c).$

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