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

In this question we have figure of circle with constructions and we have to find the value of x using basic properties of circles.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 2


1 Answer

  1. ∠AOC + ∠COB = 180o

    135o + ∠COB = 180o

    ∠COB = 1800 – 135o = 45o

    Now arc BC Subtends reflex ∠COB at the centre and ∠ CDB at the remaining part of the circle.

    ∠COB = 2 ∠CDB

    ∠CDB = ½ ∠COB

    = ½ × 45o = 45o/2 = 22 1/2o

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