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0580/21 Oct/Nov 2022, Question 5: Angles in Parallel Lines

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks

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The question, in short

Using a diagram of two parallel lines crossed by two intersecting straight lines, with angles 71° and 55° marked, find the value of x.

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

Solution · 2 marks

  1. 1The 55° angle is repeated at the upper line (corresponding angles)
  2. 2Angles on a straight line add to 180°
  3. 3x = 180 − 71 − 55
  4. 4x = 54

Answer54

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