4MA1/2H Jun 2018, Question 5: Tangent Properties of a Circle
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Using a circle with centre O, points P and Q on it, angle OPQ = 18° and tangent QT at Q, find angle PQT, justifying each step.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1OQ is a radius and QT a tangent, so angle OQT = 90° (tangent ⟂ radius)
- 2OP = OQ (radii), so angle OQP = angle OPQ = 18° (isosceles triangle)
- 3Angle PQT = 90° − 18° = 72
Answer72
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