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If O is the centre of the circle, find the value of x in each of the following figures (using the given information):

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This is an important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have figure of circles with constructions and we have to find the value of x using basic properties of circles.
ICSE Avichal publication
Understanding ICSE Mathematics
Question 2


1 Answer

  1. ∠ACD = ∠ABD

    (angles in the same segment)

    ∠ACD = xo

    Now in triangle OAC,

    OA = OC

    (radii of the same circle)

    ML Aggarwal Solutions for Class 10 Chapter 15 - Image 4

    ∠ACO = ∠AOC

    (opposite angles of equal sides)

    Therefore, xo = 62o

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