Question

given that O=82° is the centre of the circle, find the value of x and y in each cyclic quadrilateral​

Answer 1

Answer:

Here, b=

2

1

×130

∘

[Angle at the center is double the angle at the circumference subtend by the same chord]

Thus, b=65

∘

Now,

a+b=180

∘

[Opposite angles of a cyclic quadrilateral are supplementary]

a=180

∘

–65

∘

=115

∘