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0580/11 Oct/Nov 2025, Question 15: Angles in a Triangle

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 3 marks

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The question, in short

Using the straight line ABC with angle DBC = 140° and triangle ABD having AD = BD, calculate the size of angle x at D.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1Angle ABD = 180 − 140 = 40° (angles on a straight line)
  2. 2AD = BD, so angle BAD = angle ABD = 40°
  3. 3x = 180 − 2 × 40 = 100

Answer100

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