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4024/12 Oct/Nov 2021, Question 5: Angles at a Point and on a Line

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using two parallel lines ABCD and EFGH with transversals CF and BG crossing at X, and angles 53°, 46° and 81° given, find three angles.

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

Part (a) · 1 mark

Find angle CXG using the given angle at X of 81°.

  1. 1Angle CXG = 180 − 81 = 99° (angles on a straight line)

Answer99

Part (b) · 1 mark

Find angle BCX using the 53° angle at F and parallel lines.

  1. 1Angle BCX = angle CFG = 53° (alternate angles, parallel lines)

Answer53

Part (c) · 1 mark

Find angle ABX using the 46° angle at G and parallel lines.

  1. 1Angle XBC = 180 − 81 − 53 = 46° (angles in a triangle)
  2. 2Angle ABX = 180 − 46 = 134° (angles on a straight line)

Answer134

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Also searched as: 4024/12/O/N/21 · 4024_w21_qp_12 · 4024 w21 12 · question 5.
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