Question

If $O$ is the orthocentre of the $\Delta ABC$, then:

• A. $\angle BOC=2\angle BAC$
• B. $\angle BOC$ and $\angle BAC$ are supplementary
• C. $\angle BOC=\angle BAC$
• D. None of these

Answer 1

The correct option is B $\angle BOC$ and $\angle BAC$ are supplementary

In case of orthocentre $O$ in $△ABC$,

$\angle BOC+\angle BAC=180$

i.e. $\angle BOC$ and $\angle BAC$ are supplymentary.