Lemmara logoLemmaraWorked solution

0580/11 Oct/Nov 2022, Question 8: Angles in Parallel Lines

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Two straight lines cross two parallel lines, meeting on the upper parallel line; angles x° and 71° are above it and 55° is at the lower line. Find x.

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

Solution · 2 marks

  1. 1Because the lines are parallel, the 55° angle also appears at the meeting point on the upper line, next to x° and 71°
  2. 2x = 180 − 71 − 55 = 54 (angles on a straight line)

Answer54

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 Lemmara

More past-paper questions on angles in parallel lines

Also searched as: 0580/11/O/N/22 · 0580_w22_qp_11 · 0580 w22 11 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.