The lines AB AB\,AB and CD CD\,CD are parallel. Point F F\,F lies on the line ABABAB. A transversal line connects point F F\,F to point E E\,E on the line CDCDCD, such that ∠CEF=115∘\angle CEF = 115^\circ∠CEF=115∘. A triangle EFG EFG\,EFG is constructed where ∠FEG=42∘\angle FEG = 42^\circ∠FEG=42∘ and ∠FGE=72∘\angle FGE = 72^\circ∠FGE=72∘.
Find the size of angle xxx, where x=∠GFBx = \angle GFBx=∠GFB.
Give a reason for each stage of your working.
Practise AQA GCSE Maths Angles in Parallel Lines with exam-style questions for Foundation and Higher tier. 32 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.
