Lemmara logoLemmaraWorked solution

4024/13 May/Jun 2026, Question 8: Angles in Parallel Lines

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given PQ parallel to TS, with angle PQR 42° and angle RST 65° shown in the diagram, calculate the reflex angle QRS.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 2 marks

  1. 1Draw a line through R parallel to PQ
  2. 2Alternate angles: angle QRS = 42° + 65° = 107°
  3. 3Reflex angle QRS = 360° − 107° = 253°

Answer253

Stuck on a step? Read the free lesson: Angles in Parallel Lines

Practise more angles in parallel lines questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on angles in parallel lines

Also searched as: 4024/13/M/J/26 · 4024_s26_qp_13 · 4024 s26 13 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.