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ICSE Question Bank
2026Q2(iii)Tangents and Intersecting Chords
NumericalHard4 marks

In the given diagram, O is the centre of the circle and the tangent DE touches the circle at B. If ∠ADB = 32°. Find the values of x and y.

Topic: Tangents / intersecting chords

Question diagram
Previous-year question practice database

Answer

Exam answer

x = 29°, y = 61°.

Explanation

Radius OB is perpendicular to tangent DE. Use ∠ADB=32°, angle/chord properties, and triangle angle sums from the supplied diagram.

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