Question

In the following figure, what is $\angle ABD$

• A. 30${}^{\circ }$
• B. 60${}^{\circ }$
• C. 20${}^{\circ }$
• D. 50${}^{\circ }$

Answer 1

The correct option is A

30${}^{\circ }$

Inscribed angles subtended by the same arc are equal.Here , $\angle ABD$ and $\angle ACD$ are subtended by same arc AD.Therefore $\angle ABD=\angle ACD={30}^{\circ }$.