4MA1/1H Jan 2019, Question 5: Angles in Parallel Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Using the diagram with straight lines BCD and AFE, angles BCF = (4x + 15)°, DCF = (30x − 5)° and AFC = (20x + 45)°, show BCD is parallel to AFE, giving reasons.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Angles on a straight line: (4x + 15) + (30x − 5) = 180
- 234x + 10 = 180, so 34x = 170 and x = 5
- 3Angle AFC = 20 × 5 + 45 = 145°
- 4Angle DCF = 30 × 5 − 5 = 145°
- 5Alternate angles AFC and DCF are equal, so BCD is parallel to AFE — shown
AnswerShown correctly with reasons
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