2024Q3(ii)(d)Tangents and Intersecting Chords

NumericalEasy1 mark

3(ii)

In the given diagram, O is the centre of the circle. PR and PT are two tangents drawn from the external point P and touching the circle at Q and S respectively. MN is a diameter of the circle. Given ∠PQM = 42° and ∠PSM = 25°. Find :

∠QMS

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

∠QMS = 113°

Explanation

Use the cyclic quadrilateral/angle-sum relations in the figure.

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