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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


2 Answers

  1. ∠ACB + ∠CBD = 180o

    ∠ABC + 75o = 180o

    ∠ABC = 180– 75o‑ = 105o

    Now arc AC Subtends reflex ∠AOC at the centre and ∠ ABC at the remaining part of the circle.

    ∠AOC = 2 ∠ABC

    = 2× 105=210o

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