This is the basic and conceptual question from Chapter name- circles

Topic – Angle properties of circles

Chapter number- 15

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

ICSE Avichal publication

Understanding ICSE Mathematics

Question 1

Solution:(i)

∠ADB and ∠ACB are in the same segment.

∠ADB = ∠ACB = 50°

Now in

∆ADB,

∠DAB + X + ∠ADB = 180°

= 42

^{o}+ x + 50^{o}= 180^{o}= 92

^{o}+ x = 180^{o}x = 180

^{o}– 92^{o}x = 88

^{o}