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

In this question we have been given the figure of the circle and se have to find the value of x in this figure

ICSE Avichal publication
Understanding ICSE Mathematics
Question no1


1 Answer

  1. From the given number we have

    ∠BAD = ∠BCD

    Because angles in the same segment

    But ∠BAD = 20o

    ∠BAD = 20o

    ∠BCD = 20o

    ∠CEA = 90o

    ∠CED = 90o

    Now in triangle CED,

    ∠CED +
    ∠BCD + ∠CDE = 180o

    90o + 20o + x = 180o

    = 110o + x = 180o

    x = 180o – 110o

    x = 70o

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