2022Q2(iv)(a)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

∠QOR

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

∠QOR = 110°

Explanation

Radii OQ and OR are perpendicular to the tangents PQ and PR. In quadrilateral QORP, ∠QOR = 360° − 90° − 90° − 70° = 110°.

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