D,E D, E\,D,E and F F\,F are points on the circumference of a circle, centre OOO. GFH GFH\,GFH is a tangent to the circle at point FFF.
A geometric diagram shows a circle with center OOO. A horizontal line GFH GFH\,GFH is tangent to the circle at point FFF. Points D D\,D and E E\,E are on the circumference. Chords DF DF\,DF and EF EF\,EF are drawn.
Prove that angle HFE HFE\,HFE and angle FDE FDE\,FDE 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.