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ICSE Question Bank
2020Q7(c)(ii)Tangents and Intersecting Chords
NumericalEasy1 mark
7(c)

In the given figure TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If ∠BCQ = 55° and ∠BAP = 60°, find :

Figure for this question

∠AOC

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

Again, ∠AOC = 2∠ABC = 2 × 65° = 130°

Explanation

Now, ∠ABC = ∠OBA +∠OBC = 30° + 35° = 65° Again, ∠AOC = 2∠ABC = 2 × 65° = 130° ( Angle subtended at the center of the circle by an arc is twice the angle subtended at the circle)

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