0580/23 Oct/Nov 2025, Question 5: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 2 marks
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The question, in short
Rectangle ABCD with equilateral triangle EFG touching at F on BC and G on AD; angle BFE is 12°. Find x, angle GFC, and y, angle FGD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Angles in an equilateral triangle are 60°
- 2Angles on a straight line at F: x = 180 − 12 − 60 = 108
- 3AD is parallel to BC, so x + y = 180 (co-interior angles)
- 4y = 180 − 108 = 72
Answerx = 108, y = 72
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