Question

Given AB, CD and EF straight lines intersecting at the point O. If $a=c<45$, then:

• A. EF bisects $\angle BOD$
• B. CD bisects $\angle AOF$
• C. AB bisects $\angle COD$
• D. CD bisects $\angle EOB$

Answer 1

The correct option is A EF bisects $\angle BOD$

Given: $a=c$
But, $a=d$ and $c=b$ ...(Vertically opposite angles)
$\Rightarrow d=b$
Therefore, $EF$ is a bisector of $\angle BOD$ and $\angle AOC$.