Question

Consider the below figure. Here, $z$ = ___.

• A. ${45}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is C ${30}^{\circ }$

We know that angles in the same segment are equal.
Note that $\angle BAD$ and $z$ are angles at the circumference subtended by the arc BD.
$\therefore z=\angle BAD={30}^{\circ }$