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0580/12 May/Jun 2021, Question 22: Angles in a Quadrilateral

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks

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The question, in short

A quadrilateral has angles 4x°, (3x + 75)°, (87 − x)° and a right angle; work out the value of x.

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

Solution · 4 marks

  1. 1Angles in a quadrilateral add to 360°
  2. 24x + 3x + 75 + 87 − x + 90 = 360
  3. 36x + 252 = 360
  4. 46x = 108
  5. 5x = 18

Answer18

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