0580/11 May/Jun 2025, Question 21: Combining Circle Theorems
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 2 marks
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The question, in short
A, B and C are points on a circle with centre O, and AC is a diameter; angle BAC is 39°. Work out angle BCA.
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Solution · 2 marks
- 1AC is a diameter, so angle ABC = 90° (angle in a semicircle)
- 2Angle BCA = 180 − 90 − 39 = 51°
Answer51
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