2022Q2(iv)(b)Tangents and Intersecting Chords

NumericalModerate1.5 marks

2(iv)

In the given figure O is the centre of the circle. PQ and PR are tangents and ∠QPR = 70° Calculate:

Figure for this question

∠QSR

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

∠QSR = 55°

Explanation

The angle at the circumference subtending chord QR is half the central angle ∠QOR. Hence 110°/2 = 55°.

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