0580/12 Oct/Nov 2024, Question 17: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
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The question, in short
Parallelogram diagram with angles (132 − 2x)° and (15 + 5x)° at adjacent vertices; find x and work out the smallest interior angle.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Co-interior angles add to 180°: 132 − 2x + 15 + 5x = 180
- 2147 + 3x = 180
- 33x = 33, x = 11
- 415 + 5 × 11 = 70° and 132 − 2 × 11 = 110°
- 5Smallest angle = 70°
Answer70
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Also searched as: 0580/12/O/N/24 · 0580_w24_qp_12 · 0580 w24 12 · question 17.
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