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4MA1/2H Jun 2023, Question 3: Angles in Parallel Lines

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks

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The question, in short

In trapezium ABCD with BC parallel to AD, three angles are given as (3x + 46)°, (4x − 27)° and (3x + 10)°. Find the largest angle.

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

Solution · 4 marks

  1. 1(4x − 27) + (3x + 46) = 180
  2. 27x + 19 = 180
  3. 37x = 161
  4. 4x = 23
  5. 53 × 23 + 46 = 115

Answer115

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