0580/22 May/Jun 2025, Question 3: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Two parallel lines are crossed by two straight lines meeting on the lower parallel line; given angles 45° and 65° at the upper line, find x and y.
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Solution · 3 marks
- 1Angles inside the triangle at the upper line are 45° and 65° (vertically opposite angles)
- 2x = 180 − 45 − 65 = 70 (angles in a triangle)
- 3y = 65 (alternate angles with the 65° angle, then vertically opposite)
- 4x = 70 and y = 65
Answerx = 70 and y = 65
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Also searched as: 0580/22/M/J/25 · 0580_s25_qp_22 · 0580 s25 22 · question 3.
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