MCQ
In Fig , the value of $y$ is
- A36
- B54
- C63
- D72
✓
Answer
B. 54
Since $A O B$ is a straight line.$
\begin{array}{ll}
\therefore & \angle A O C+\angle C O D+\angle D O B=180^{\circ} \text { and } \angle A O E+\angle E O B=180^{\circ} \\
\Rightarrow & x+90+y=180 \text { and } 3 x+72=180 \\
\Rightarrow & x+y=90 \text { and } x=36 \Rightarrow x=36 \text { and } y=54
\end{array}
$
Since $A O B$ is a straight line.$
\begin{array}{ll}
\therefore & \angle A O C+\angle C O D+\angle D O B=180^{\circ} \text { and } \angle A O E+\angle E O B=180^{\circ} \\
\Rightarrow & x+90+y=180 \text { and } 3 x+72=180 \\
\Rightarrow & x+y=90 \text { and } x=36 \Rightarrow x=36 \text { and } y=54
\end{array}
$
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