Question

In the given figure, O is the centre of a
and angle BOD = 150°. Find the values
of x and y.
​

Answer 1

I know only

the value of y=75° as angle subtend at the centre is double the angle subtended by it at same arc 150°/2=75°

Answer 2

X is 75 and y is 105

Angle formed at centre is double than formed at circumference.

Therefore x is 75

X + y = 180

as sum of opposite angles of a cyclic quadrilateral is 180

Therefore y is 180-75=105 degrees