Question

plz solve this question with full explanation.
In the figure, O is the centre of a circle passing through points A, B, C and D and angle ADC=120 degree. Find the value of x​

Answer 1

angle adc + angle abc (sum of opposite angle of quadliator is 180)

120+ angle abc = 180

angle abc = 60

angle acb = 90 ( angle in a semi circle)

angle acb + angle abc + angle cab = 180 ( by angle sum property of triangle)

90 + 60 + x = 180

x= 180-150

x = 30