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Question 24. (a) In the figure (i) given below, O is the centre of the circle. The tangent at B and D meet at P. If AB is parallel to CD and ∠ ABC = 55°. find: (i)∠BOD (ii) ∠BPD (b) In the figure (ii) given below. O is the centre of the circle. AB is a diameter, TPT’ is a tangent to the circle at P. If ∠BPT’ = 30°, calculate : (i)∠APT (ii) ∠B OP.

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This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In the question , O is the centre of the circle. The tangent at B and D meet at P.

If AB is parallel to CD and ∠ ABC = 55°.

Now we have to find: (i)∠BOD (ii) ∠BPD

b) in the given figure O is the centre of the circle. AB is a diameter,

TPT’ is a tangent to the circle at P. If ∠BPT’ = 30°,

Now we have to calculate : (i)∠APT (ii) ∠B OP.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 24

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1 Answer

  1. Solution:
    (a) AB || CD
    (i) ∠ABC = ∠BCD (Alternate angles)
    ⇒ ∠BCD = 55°
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q24.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q24.3
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q24.4

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