MCQ
In the given figure, $AOB$ is a straight line. If $\angle\text{AOC}=4\text{x}^\circ$ and $\angle\text{BOC}=5\text{x}^\circ$ then $\angle\text{AOC}=?$
- A$100^\circ$
- B$40^\circ$
- ✓$80^\circ$
- D$60^\circ$
✓
Answer
Correct option: C.
$80^\circ$
We have,
$\angle\text{AOC}+\angle\text{BOC}=180^\circ$ [Since $AOB$ is a straight line]
$\Rightarrow 4x + 5x = 180^\circ$
$\Rightarrow 9x = 180^\circ$
$\Rightarrow x = 20^\circ$
$\therefore\angle\text{AOC}=4\times20^\circ=80^\circ.$
$\angle\text{AOC}+\angle\text{BOC}=180^\circ$ [Since $AOB$ is a straight line]
$\Rightarrow 4x + 5x = 180^\circ$
$\Rightarrow 9x = 180^\circ$
$\Rightarrow x = 20^\circ$
$\therefore\angle\text{AOC}=4\times20^\circ=80^\circ.$
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