0580/21 May/Jun 2025, Question 2: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using the given diagram of two parallel lines cut by two crossing straight lines, work out the sizes of the angles w, x and y.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1w = 158 (corresponding angles, parallel lines)
- 2x = 76 (alternate angles, parallel lines)
- 3Angle next to 158° = 180 − 158 = 22° (angles on a straight line)
- 4y = 180 − 76 − 22 = 82 (angles in a triangle)
- 5w = 158, x = 76, y = 82
Answerw = 158, x = 76, y = 82
Stuck on a step? Read the free lesson: Angles in Parallel Lines
Practise more angles in parallel lines questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on angles in parallel lines
Also searched as: 0580/21/M/J/25 · 0580_s25_qp_21 · 0580 s25 21 · question 2.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.