2023Q4(iii)(d)Tangents and Intersecting Chords

NumericalEasy1 mark

4(iii)

In the given figure, O is the center of the circle. PQ is a tangent to the circle at T. Chord AB produced meets the tangent at P. AB = 9 cm, BP = 16 cm, ∠PTB = 50°, ∠OBA = 45°. Find :

∠ABT

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

∠ABT = 85°

Explanation

Use the angle sum in the relevant triangle after finding the preceding angles.

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