MCQ
In the adjoining figure, $y =?$
- A$36^\circ$
- B$63^\circ$
- C$72^\circ$
- ✓$54^\circ$
✓
Answer
Correct option: D.
$54^\circ$
We have,$3x + 72 = 180^\circ $[$\because$ AOB is a straight line]
$\Rightarrow 3x = 108$
$\Rightarrow x = 36$
Also,
$\angle\text{AOC}+\angle\text{COD}+\angle\text{BOD}=180^\circ$ [$\because$ $AOB$ is a straight line]
$\Rightarrow 36^\circ + 90^\circ + y = 180^\circ$
$\Rightarrow y = 54^\circ .$
$\Rightarrow 3x = 108$
$\Rightarrow x = 36$
Also,
$\angle\text{AOC}+\angle\text{COD}+\angle\text{BOD}=180^\circ$ [$\because$ $AOB$ is a straight line]
$\Rightarrow 36^\circ + 90^\circ + y = 180^\circ$
$\Rightarrow y = 54^\circ .$
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