MCQ
In the given $x =?$
- A$\alpha-\beta-\gamma$
- ✓$\alpha+\beta+\gamma$
- C$\alpha+\beta-\gamma$
- D$\alpha+\gamma-\beta$
✓
Answer
Correct option: B.
$\alpha+\beta+\gamma$
$OBCA$ is a quadrilateral$\angle\text{OAC}+\angle\text{BOA}+\angle\text{ACB}+\angle\text{CBO}=360^\circ$
$\gamma+\beta+\angle\text{ACB}+\alpha=360^\circ$
$\angle\text{ACB}=360^\circ-\gamma-\beta-\alpha$
$\text{x}=360^\circ-\angle\text{ACB}$
$\text{x}=\alpha+\beta+\gamma.$
$\gamma+\beta+\angle\text{ACB}+\alpha=360^\circ$
$\angle\text{ACB}=360^\circ-\gamma-\beta-\alpha$
$\text{x}=360^\circ-\angle\text{ACB}$
$\text{x}=\alpha+\beta+\gamma.$
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