X,Y X, Y\,X,Y and Z Z\,Z are points on the circumference of a circle, centre OOO. SZT SZT\,SZT is a tangent to the circle.
A geometric diagram shows a circle with center OOO. A horizontal line SZT SZT\,SZT is tangent to the circle at point ZZZ. Points X X\,X and Y Y\,Y are on the circumference. Chords XZ XZ\,XZ and YZ YZ\,YZ are drawn.
Prove that angle TZY TZY\,TZY and angle ZXY ZXY\,ZXY are equal.
Practise AQA GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 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.