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 with certain information about the figure and we have to find the value of x and y.
ICSE Avichal publication
Understanding ICSE Mathematics
Question 4 (b)
Arc ADC Subtends ∠AOC at the centre and
∠ ABC at the remaining part of the circle
∠AOC = 2 ∠ABC
xo = 60o
Again ABCD is a Cyclic quadrilateral
∠B + ∠D = 180o
(60o + yo = 180o)
y = 180o – 60o = 120o