Question

In the above figure, $p$ = __ and $q$ = ___.

• A. ${40}^{\circ },{52}^{\circ }$
• B. ${52}^{\circ },{40}^{\circ }$
• C. ${38}^{\circ },{50}^{\circ }$
• D. ${50}^{\circ },{38}^{\circ }$

Answer 1

The correct option is B ${52}^{\circ },{40}^{\circ }$

We know that the angles subtended by an arc in the same segment are equal.
$⟹\angle CAB=\angle CBD$ and
$⟹\angle ACB=\angle ADB.$
$\therefore p={52}^{\circ }$ and $q={40}^{\circ }.$