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

∠ACD = ∠ABD

(angles in the same segment)

∠ACD = x

^{o}Now in triangle OAC,

OA = OC

(radii of the same circle)

∠ACO = ∠AOC

(opposite angles of equal sides)

Therefore, x

^{o}= 62^{o}