Question

In the given figure, if $\angle AOB={125}^{\circ }$ find the measure of $\angle COD$

• A. ${62.5}^{\circ }$
• B. ${45}^{\circ }$
• C. ${35}^{\circ }$
• D. ${55}^{\circ }$

Answer 1

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

Given $\angle AOB={125}^o\angle AOD={90}^o$ and $\angle BOC={90}^o,\angle O={360}^o$

$360=\angle AOB+\angle DOA+\angle COD+\angle COB$

$\Rightarrow 360=125+90+\angle COD+90$

$\therefore \angle COD={55}^o$