4024/12 Oct/Nov 2023, Question 6: Angles in Parallel Lines
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Using a diagram of two pairs of parallel lines, with angle ABF = 73°, work out the sizes of angles x and y.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
Determine the size of angle x, using the parallel lines and the 73° angle.
- 1EC ∥ FB and the arms of x lie along AB and CE in the same directions as the arms of angle ABF
- 2x = 73 (corresponding angles)
Answer73
Part (b) · 1 mark
Determine the size of angle y, using the parallel lines and the 73° angle.
- 1Angle between CE and AB on the B side above AB = 73° (vertically opposite x)
- 2AB ∥ CD, so y + 73 = 180 (co-interior angles)
- 3y = 107
Answer107
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Also searched as: 4024/12/O/N/23 · 4024_w23_qp_12 · 4024 w23 12 · question 6.
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