Correct option is (A) \(\frac{x^\circ}{2}\)
Angle subtended by an arc at the centre is double then the angle subtended by that arc at any other point on the circumference of the circle.
\(\therefore\) \(x^\circ\) = 2 \(\times\) Angle subtended by arc at any other point on the circle.
\(\therefore\) Required angle = \(\frac{x^\circ}{2}\)