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4024/11 May/Jun 2023, Question 3: Angles at a Point and on a Line

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Use the angle facts at a point and along a straight line with an equilateral triangle to find the unknown angles x and y.

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

Part (a) · 1 mark

Four lines cross at one point, with angles 40°, 120°, x° and 90° shown; calculate x.

  1. 1Angles at a point add to 360°
  2. 2x = 360 − 40 − 120 − 90
  3. 3x = 110

Answer110

Part (b) · 1 mark

ABC is straight and BCD is equilateral; calculate y, the angle at B between BA and BD.

  1. 1Angle DBC = 60° (equilateral triangle)
  2. 2y = 180 − 60 (angles on a straight line)
  3. 3y = 120

Answer120

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Also searched as: 4024/11/M/J/23 · 4024_s23_qp_11 · 4024 s23 11 · question 3.
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