In the figure (i) given below, calculate the values of x and y. (b) In the figure (ii) given below, O is the centre of the circle. Calculate the values of x and y.

(a) ABCD is cyclic Quadrilateral

∠B + ∠D = 180⁰

Y + 40⁰+ 45^o= 180^o

(y + 85^o= 180^o)

Y = 180^o– 85^o = 95^o

∠ACB = ∠ADB

x^o= 40

(a) Arc ADC Subtends ∠AOC at the centre and
∠ ABC at the remaining part of the circle

∠AOC = 2 ∠ABC

x^o= 60^o

Again ABCD is a Cyclic quadrilateral

∠B + ∠D = 180^o

(60^o+ y^o= 180^o)

y = 180^o– 60^o= 120^o

i

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