MCQ
In figure, the value of $y$ is:
- A$20^\circ$
- ✓$30^\circ$
- C$45^\circ$
- D$60^\circ$
✓
Answer
Correct option: B.
$30^\circ$
From figure, we can see
$\angle\text{x}^\circ=\angle\text{y}^\circ$ [Vertically opposite angles]
Also,
$\angle\text{3}\text{x}^\circ+\angle\text{y}^\circ+\angle2\text{x}^\circ=180^\circ$
Now,
$\angle\text{x}^\circ=\angle\text{y}^\circ$
$\therefore\ \angle\text{3}\text{y}^\circ+\angle\text{y}^\circ+\angle2\text{y}^\circ=180^\circ$
$\Rightarrow\ \angle6\text{y}^\circ=180^\circ$
$\Rightarrow\ \angle\text{y}^\circ=180^\circ$
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