0580/23 May/Jun 2025, Question 2: Angles in a Quadrilateral
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using a quadrilateral with side CD extended and an isosceles triangle on AB, find the values of x and y from the given angles.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angle CDA = 180 − 104 = 76° (angles on a straight line)
- 2x = 360 − 70 − 130 − 76 = 84 (angles in a quadrilateral)
- 3AF = AB, so angles at F and B are equal
- 4y = (180 − 30) ÷ 2 = 75
- 5x = 84, y = 75
Answerx = 84, y = 75
Stuck on a step? Read the free lesson: Angles in a Quadrilateral
Practise more angles in a quadrilateral 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 a quadrilateral
Also searched as: 0580/23/M/J/25 · 0580_s25_qp_23 · 0580 s25 23 · question 2.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.