MCQ
In Fig. the value of $x$ is:
 
  • A
    $75$
  • $65$
  • C
    $45$
  • D
    $55$

Answer

Correct option: B.
$65$
$\angle \text{AOC}$ and $\angle \text{BOC}=180^\circ [\because$ Linear pair angles$]$
$\Rightarrow 44^\circ+(2\text{x}+6)^\circ=180^\circ$
$\Rightarrow (2\text{x+6})^\circ=136^\circ$
$\Rightarrow 2\text{x}+6=136$
$\Rightarrow 2\text{x}=130$
$\Rightarrow \text{x}=65$
Hence, the correct answer is option $(b).$

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