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deepaksoni
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Asked: 2021-03-25T15:24:13+05:30 In:

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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If O is the centre of the circle, find the value of x in each of the following figures (using the given information):

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

circlesicse boardml aggarwal solution
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    2 Answers

    1. Newbie

      I hope this helps!!!!

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    2. Guru

      ∠ACB + ∠CBD = 180o

      ∠ABC + 75o = 180o

      ∠ABC = 180o – 75o‑ = 105o

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

      Reflex
      ∠AOC = 2 ∠ABC

      = 2× 105o =210o

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