0580/12 Oct/Nov 2023, Question 11: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Two parallel lines are crossed by two straight lines meeting on the upper parallel line; given angles 50° and 114°, find x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Angles on a straight line at the lower line: 180 − 114 = 66°
- 2Corresponding angles: the same 66° appears at the point on the upper line
- 3At that point 50°, x° and 66° make a straight line (vertically opposite angles)
- 4x = 180 − 66 − 50 = 64
Answer64
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: 0580/12/O/N/23 · 0580_w23_qp_12 · 0580 w23 12 · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.