Question

In the given figure, O is the centre of the circle. Find the value of $X$.

• A. ${30}^{\circ }$
• B. ${40}^{\circ }$
• C. ${50}^{\circ }$
• D. ${100}^{\circ }$

Answer 1

The correct option is C

${50}^{\circ }$

In the figure, $\angle ABD={50}^{\circ }$

Since the angles subtended by an arc in the same segment are equal, we have $\angle ABD=\angle ACD.$

$\Rightarrow X=\angle ACD={50}^{\circ }$