4MA1/1HR Jun 2018, Question 6: Angles in Parallel Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks
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The question, in short
Parallel lines ABC and DEF with BG = BE; angle DEG = 38° and angle GEB = 65°. Find angle ABG.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1BG = BE, so angle BGE = angle BEG = 65°
- 2Angle EBG = 180 − 2 × 65 = 50°
- 3Angle DEB = 38 + 65 = 103°
- 4Co-interior angles: ABE = 180 − 103 = 77°
- 5ABG = 77 − 50 = 27°
Answer27
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