Mathematics

Mathematics

Problem

In the given figure, PQRS is a cyclic quadrilateral in which PS=RSPS = RS, ∠SQR=x\angle SQR = x and ∠PQS=60∘\angle PQS = 60^\circ. The value of xx is _______. ![Diagram of a cyclic quadrilateral PQRS inscribed in a circle. Diagonals PR and QS intersect at point T. Angle PQS is marked as 60 degrees. Angle SQR is marked as x. Chords PS and RS are marked with single tick marks, indicating they are equal.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/176ca3490fb3479aaefa2f2f50b54a0a/30a26f2d17ca95672702bf50fb4f0242_img.jpg) (A) 30∘30^\circ (B) 60∘60^\circ (C) 75∘75^\circ (D) 80∘80^\circ

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