D D\,D and F F\,F are points on the circumference of a circle, centre OOO. DE DE\,DE and FE FE\,FE are tangents to the circle that meet at point E E\,E outside the circle.
Angle DEF=64∘DEF = 64^\circDEF=64∘
Radii OD OD\,OD and OF OF\,OF are drawn.
Find the size of angle ODFODFODF.
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.