4MA1/1FR Jun 2022, Question 12: Angles in a Quadrilateral
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks
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The question, in short
In trapezium PQRS, PS is parallel to QR, angles at P and Q are 90°, angle PSR is (3x − 24)° and angle QRS is (102 − x)°. Determine x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 190 + 90 + (3x − 24) + (102 − x) = 360
- 2180 + 3x − 24 + 102 − x = 360
- 32x + 258 = 360
- 42x = 360 − 258
- 52x = 102
- 6x = 51
Answer51
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