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4MA1/2FR Jan 2022, Question 9: Angles in a Quadrilateral

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

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The question, in short

A quadrilateral has angles x°, 92°, x° and 44°. Find x and state the geometric reason used.

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

Part (i) · 3 marks

Calculate the value of x using the angle sum of a quadrilateral.

  1. 192 + 44 = 136
  2. 2360 − 136 = 224
  3. 3224 ÷ 2 = 112

Answer112

Part (ii) · 1 mark

State the reason justifying the method used to find x.

  1. 1Angles in a quadrilateral add up to 360 degrees

AnswerAngles in a quadrilateral sum to 360°

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