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0580/23 Oct/Nov 2021, Question 2: Angles in Parallel Lines

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

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The question, in short

Two parallel lines are crossed by a straight line, with angle x° at the upper intersection and 132° at the lower intersection. Find x.

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

Solution · 2 marks

  1. 1Use corresponding angles: the angle matching 132° at the upper crossing is also 132°
  2. 2x° and that 132° angle lie on a straight line, so they add to 180°
  3. 3x = 180 − 132 = 48

Answer48

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