Question

In the given figure, $\widehat{AB}=\widehat{CD},\angle AOB={55}^{\circ }$ and $\angle BOC={70}^{\circ }$.

Find the value of $\angle COD$

• A. ${50}^{\circ }$
• B. ${70}^{\circ }$
• C. ${55}^{\circ }$
• D. ${65}^{\circ }$

Answer 1

The correct option is C

${55}^{\circ }$

It is given that Arc AB = Arc CD.

And we know that equal arcs subtend equal angles at the center.

$\Rightarrow \angle AOB=\angle COD={55}^{\circ }$