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Question 4. (b) In the figure (ii) given below, O is the centre of the circle. Calculate the values of x and y.

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This is the basic and conceptual question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have been given the figure of circle with certain information about the figure and we have to find the value of x and y.
ICSE Avichal publication
Understanding ICSE Mathematics
Question 4 (b)

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1 Answer

  1. Arc ADC Subtends ∠AOC at the centre and
    ∠ ABC at the remaining part of the circle

    ∠AOC = 2 ∠ABC

    x= 60o

    Again ABCD is a Cyclic quadrilateral

    ∠B + ∠D = 180o

    (60+ y= 180o)

    y = 180– 60= 120o

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