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0580/11 Oct/Nov 2024, Question 8: Angles in a Quadrilateral

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 2 marks

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The question, in short

A quadrilateral diagram has interior angles 28°, 49° and y°, with an exterior angle of 138° at the reflex vertex. Find y.

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

Solution · 2 marks

  1. 1Reflex angle inside the shape = 360 − 138 = 222°
  2. 2Angles in a quadrilateral add to 360°: y = 360 − 222 − 28 − 49
  3. 3y = 61

Answer61

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