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Using the given information, find the value of x in each of the following figures

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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 and we have to find the value of x using the properties of the circle

ICSE Avichal publication
Understanding ICSE Mathematics
Question 1

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1 Answer

  1. Solution:

    (i)
    ∠ADB and ∠ACB are in the same segment.

    ∠ADB = ∠ACB = 50°

    Now in
    ∆ADB,

    ∠DAB + X + ∠ADB = 180°

    = 42o + x + 50o = 180o

    = 92o + x = 180o

    x = 180o – 92o

    x = 88o

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