Mathematics

Problem

In figure if O is centre of a circle, PQ is a chord and the tangent PR at P makes an angle of

50^\circ

with PQ, then

\angle POQ

is equal to ![A circle with center O. PQ is a chord. PR is a tangent line at point P. The angle between the chord PQ and the tangent PR is 50 degrees. The angle POQ is the central angle subtended by the chord PQ.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/6c160a39c05c4de4b62ab62c78171a94/935eed7aa61f7777f62cfc032e11bee9_img.jpg) (a)

100^\circ

(b)

80^\circ

(c)

90^\circ

(d)

75^\circ

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