4MA1/2FR Jan 2019, Question 14: Multi-Step Angle Reasoning
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
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The question, in short
Using straight lines ABC, DECF and EBG with angle ABG = 75° and angle DEB = 123°, work out x, giving a reason for each step.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angle BEC = 180 − 123 = 57° (angles on a straight line)
- 2Angle EBC = 75° (vertically opposite to angle ABG)
- 3Angle BCE = 180 − 75 − 57 = 48° (angles in a triangle)
- 4x = 180 − 48 = 132 (angles on a straight line)
Answer132
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