4MA1/2F Jan 2023, Question 15: Angles in Parallel Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks
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The question, in short
Using parallel lines AB and DEF with straight line BEG, and angles DEG = 73° and EBC = 124°, find w = angle ABC, justifying each step.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angle BEF = 73°, because it is vertically opposite angle DEG
- 2Angle ABE = angle BEF = 73°, because AB and DEF are parallel and these are alternate angles
- 3The angles at B go all the way round: angle ABE + angle EBC + angle ABC = 360°
- 473 + 124 = 197, so w = 360 − 197 = 163
Answer163
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