P,Q P, Q\,P,Q and R R\,R are points on the circumference of a circle, centre OOO. MRN MRN\,MRN is a tangent to the circle.
A geometric diagram shows a circle with center OOO. A horizontal line MRN MRN\,MRN is tangent to the circle at point RRR. Points P P\,P and Q Q\,Q are on the circumference. Chords PR PR\,PR and QR QR\,QR are drawn.
Prove that angle NRQ NRQ\,NRQ and angle RPQ RPQ\,RPQ are equal.
Practise Edexcel GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Edexcel GCSE Maths (1MA1) 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.