Points PPP, QQQ, R R\,R and S S\,S are points on the circumference of a circle, centre OOO. Chords PQPQPQ, QRQRQR, RSRSRS, and SP SP\,SP are drawn to form a cyclic quadrilateral PQRSPQRSPQRS. Radii OP OP\,OP and OR OR\,OR are drawn.
Angle POR=2y∘POR = 2y^\circPOR=2y∘
Find the size of angle PSRPSRPSR, in terms of yyy. Give reasons for each stage of your working.
Practise AQA GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.