Question

In the given figure, $OB\perp OC$, then the value of $\angle COD$ is:

• A. ${50}^{\circ }$
• B. ${55}^{\circ }$
• C. ${60}^{\circ }$

Answer 1

The correct option is B ${55}^{\circ }$

Clearly, $\angle COD+\angle COB+\angle BOA={180}^{\circ }$
$\Rightarrow \angle COD+{90}^{\circ }+{35}^{\circ }={180}^{\circ }$
$\Rightarrow \angle COD={180}^{\circ }-{90}^{\circ }-{35}^{\circ }={55}^{\circ }$