Question

In the given figure, O is the centre of the circle and $\angle AOC$ is ${60}^{\circ }$, then the value of X is .

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${50}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is D ${60}^{\circ }$


In the above figure, we see that
AC = BD
We know that equal chords subtend equal angles at the centre.

$\therefore \angle AOC=\angle BOD=X={60}^{\circ }$