MCQ
In Fig. the value of $x$ is:
  • A
    $110^\circ$
  • B
    $46^\circ$
  • C
    $64^\circ$
  • $150^\circ$

Answer

Correct option: D.
$150^\circ$

 We know that, the sum of all angles around a point is $360^\circ .$
$\therefore100^\circ+46^\circ+64^\circ+\text{x}=360^\circ$
$\Rightarrow210^\circ+\text{x}=360^\circ$
$\Rightarrow\text{x}=360^\circ-210^\circ$
$\Rightarrow\text{x}=150^\circ$

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