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

Question

deepaksoniGuru

Asked: March 25, 20212021-03-25T15:25:54+05:30 2021-03-25T15:25:54+05:30In: ICSE

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

In this question we have figure of circle with constructions and we have to find the value of x using basic properties of circles.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 2

Leave an answer

AAREKH · Answer 1 · 2021-03-27T17:16:53+05:30

AAREKH Guru

∠AOC + ∠COB = 180^o

135^o + ∠COB = 180^o

∠COB = 180⁰ – 135^o = 45^o

Now arc BC Subtends reflex ∠COB at the centre and ∠ CDB at the remaining part of the circle.

∠COB = 2 ∠CDB

∠CDB = ½ ∠COB

= ½ × 45^o = 45^o/2 = 22 1/2^o