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deepaksoni
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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 circles with constructions and we have to find the value of x using basic properties of circles.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no2

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1 Answer

  1. Solution:

    (i) ∠ACB = ∠ADB

    (Angles in the same segment of a circle)

    But ∠ADB = x°

    ∠ABC = xo

    Now in ∆ABC

    ∠CAB + ∠ABC + ∠ACB = 180o

    40+ 90+ x= 180o

    (AC is the diameter)

    130o + x= 180o

    x= 180– 130o = 50o

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