MCQ
Mark $(\checkmark)$ against the correct answer.In the given figure, rays $OA, OB, OC$ and $OD$ are such that $\angle\text{AOB}=50^\circ,\angle\text{BOC}=90^\circ,\angle\text{COD}=70^\circ$ and $\angle\text{AOD}=\text{x}^\circ.$
  • A
    $50^\circ$
  • B
    $70^\circ$
  • $150^\circ$
  • D
    $90^\circ$

Answer

Correct option: C.
$150^\circ$
In the figure,
$\angle\text{AOB}=50^\circ,\angle\text{BOC}=90^\circ$
$\angle\text{COD}=70^\circ,\angle\text{AOD}=\text{x}^\circ.$
But $\angle\text{AOB}+\angle\text{BOC}+\angle\text{COD}+\angle\text{DOA}$ (Angles at point)
$\Rightarrow50^\circ+90+^\circ+70+\text{x}=360^\circ$
$\Rightarrow210+\text{x}=360^\circ$
$\Rightarrow\text{x}=360^\circ-210^\circ$
$\Rightarrow\text{x}=150^\circ$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free