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4MA1/1FR Jun 2022, Question 10: Multi-Step Angle Reasoning

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

Using the diagram with straight lines ABCD, BEF and GCEH, a right angle at B and a 35° angle at C, determine the values of x and y and justify each result.

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

Part (ai) · 1 mark

Calculate the number x, using the 35° angle at C and the right angle at B.

  1. 1x = 35

Answer35

Part (aii) · 1 mark

State the geometric principle that justifies the value found for x.

  1. 1Angle x is vertically opposite angle BCE, which is 35°
  2. 2Vertically opposite angles are equal

Answervertically opposite angles are equal

Part (bi) · 2 marks

Calculate the number y from the angles on the straight lines in the diagram.

  1. 1In triangle BCE, angle BEC = 180 − 90 − 35 = 55
  2. 2Angle y and angle BEC lie on a straight line, so y = 180 − 55 = 125

Answer125

Part (bii) · 1 mark

State the geometric principle that justifies the value found for y.

  1. 1Angle y is on a straight line with angle BEC
  2. 2Angles on a straight line add up to 180°

AnswerAngles on a straight line add to 180°

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