Question

In the given figure,

$AB=DC$, and $O$ is the center of the circle,
find $\angle DOC$.

• A. ${130}^o$
• B. ${15}^o$
• C. ${65}^o$
• D. None of these

Answer 1

The correct option is C ${65}^o$


As chords $AB$ and $DC$ are equal so angle made at center by these chords will also be equal.
So, $\angle AOB=\angle DOC$
$\angle DOC={65}^o$

Hence, option $\left(c\right)$ correct.