A) \[54{}^\circ \]
B) \[72{}^\circ \]
C) \[100{}^\circ \]
D) \[105{}^\circ \]
Correct Answer: B
Solution :
(b): \[\angle a+\angle b=180{}^\circ \frac{\angle a}{\angle b}=\frac{2}{3}\] \[\therefore \,\,\,\angle a=2x\,\,\,\,\,\angle b=3x\] \[\Rightarrow \,\,\,2x+3x=180{}^\circ \Rightarrow x=36{}^\circ \] Now, \[\angle BOD\] is vertically opposite to \[\angle a\,\,\,\therefore \,\,\angle BOD=\angle a=2x=72{}^\circ \]
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