Question

The measure of $q$ in the given figure is :

• A. ${118}^{\circ }$
• B. ${152}^{\circ }$
• C. ${90}^{\circ }$
• D. ${84}^{\circ }$

Answer 1

The correct option is B ${152}^{\circ }$

From the figure

$\angle AOC=\angle AOB+\angle BOC$

$\Rightarrow \angle ADC={62}^{\circ }+{90}^{\circ }\Rightarrow \angle ADC={152}^{\circ }$

Now $\angle DOE=\angle AOC$ (Vertically opposite angles)

$\Rightarrow q={152}^{\circ }$