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4024/12 May/Jun 2025, Question 4: Angles in a Triangle

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using the diagram with straight lines AEC and BED crossing at E, ED = EC, angle EDC = 35° and angle ABE = 48°, work out the value of x, where angle BAE = x°.

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

Solution · 3 marks

  1. 1ED = EC, so angle DCE = 35°
  2. 2Angle DEC = 180 − 35 − 35 = 110°
  3. 3Angle AEB = 110° (vertically opposite)
  4. 4x = 180 − 110 − 48 = 22

Answer22

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