Angle subtended by a chord on the major are of the circle is 50 degree. What is the angle subtended by the same chord on the centre of the circle?

100 degree

So, the major arc for the PQ chord is PRQ.

Hence, \(\angle\)PRQ = \({50}^\circ\)

Here, \(\angle\)POQ is the angle subtended by the same chord, PQ on the center of the circle.

According tot the concept,

\(\angle\)POQ = 2 x \(\angle\)PRQ

= \(\angle\)POQ = 2 x \({50}^\circ\)

= \(\angle\)POQ = \({100}^\circ\)

Therefore, the angle subtended by the same chord on the center of the circle is \({100}^\circ\).