In Fig. 16.183, O is the centre of the circle ∠DAB=50°. Calculate the values of x and y.

Question

In Fig. 16.183, O is the centre of the circle &#x2220; DAB =50&#xB0;. Calculate the values of x and y .

Philoid · Accepted Answer

We have,

∠DAB = 50^o

By degree measure theorem

∠BOD = 2 ∠BAD

x = 2 * 50^o

= 100^o

Since, ABCD is a cyclic quadrilateral

Then,

∠A + ∠C = 180^o

50^o + y = 180^o

y = 130^o