4MA1/1F Jun 2018, Question 8: Angles in a Quadrilateral
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Using a quadrilateral ABCD with a right angle at B, an equilateral triangle ADE, straight line DCF, angle ADC = 135° and angle BCF = 108°, find angle EAB, justifying each step.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Angle EAD = 60 (equilateral triangle)
- 2Angle BCD = 180 − 108 = 72 (angles on a straight line add up to 180°)
- 3Angle BAD = 360 − (135 + 72 + 90) = 63 (angles in a quadrilateral add up to 360°)
- 4Angle EAB = 60 + 63 = 123
Answer123
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