0580/22 Oct/Nov 2024, Question 17: Tangent Properties of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Using a circle centred at O with tangents from D touching at A and C, and angle ABC = 64°, determine the size of angle ADC, labelled x.
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Solution · 2 marks
- 1Angle AOC = 2 × 64 = 128° (angle at centre is twice the angle at the circumference)
- 2Angle OAD = angle OCD = 90° (tangent ⟂ radius)
- 3x = 360 − 90 − 90 − 128 = 52
Answer52
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