0580/12 May/Jun 2023, Question 5: Multi-Step Angle Reasoning
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
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The question, in short
A triangle ABC has angles 73° at A and 59° at B, with side AC extended to D. Work out the sizes of angle x (at C inside the triangle) and angle y (at C outside it).
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1x = 180 − 73 − 59 = 48 (angles in a triangle add to 180°)
- 2y = 180 − 48 = 132 (angles on a straight line add to 180°)
- 3x = 48, y = 132
Answerx = 48, y = 132
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