4MA1/1FR Jan 2023, Question 9: Angles in a Triangle
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks
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The question, in short
Using the quadrilateral ABDE with angles 52° and 112°, straight line ABC, and isosceles triangle BCD with BD = CD, find x, justifying each step.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angles in a quadrilateral add to 360°: angle ABD = 360 − 52 − 112 − 90 = 106°
- 2Angles on a straight line add to 180°: angle DBC = 180 − 106 = 74°
- 3Triangle BCD is isosceles (BD = CD), so angle BCD = 74°
- 4Angles in a triangle add to 180°: x = 180 − 74 − 74 = 32
Answer32
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