A A\,A and B B\,B are points on the circumference of a circle with centre OOO. XYZ XYZ\,XYZ is a straight line tangent to the circle at point YYY.
Angle AYX=53∘AYX = 53^\circAYX=53∘
Find the size of angle AYOAYOAYO. Give reasons for each stage of your working.
Find the size of angle ABYABYABY. Give reasons for each stage of your working.
Practise Edexcel GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 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.