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Question 23. In the given figure, O is the centre of the circle. Tangents to the circle at A and B meet at C. If ∠ACO = 30°, find (i) ∠BCO (ii) ∠AOR (iii) ∠APB

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One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have O is the centre of the circle.

Also Tangents to the circle at A and B meet at C. If ∠ACO = 30°,

Now we have to find (i) ∠BCO (ii) ∠AOR (iii) ∠APB
ICSE Avichal publication
Understanding ICSE Mathematics
Question 23

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1 Answer

  1. Solution:
    (i) ∠BCO = ∠ACO = 30°
    (∵ C is the intersecting point of tangent AC and BC)
    (ii) ∠OAC = ∠OBC = 90°
    ∵∠AOC = ∠BOC = 180° – (90° + 30°) = 60°
    (∵ sum of the three angles a ∆ is 180°)
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q23.2

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