Question

In the figure given below, if $\angle AOP={75}^{\circ }$ and $\angle AOB={120}^{\circ }$, then what is $\angle AQP$ ?

• A. ${45}^{\circ }$
• B. ${37.5}^{\circ }$
• C. ${30}^{\circ }$
• D. ${22.5}^{\circ }$

Answer 1

The correct option is B ${37.5}^{\circ }$

$\angle AQP=\frac{1}{2}\times \angle AOP$ (Angle substance by an arc at the once is half of the angle at the centre).

$=\frac{{75}^{\circ }}{2}=37.5$