Q11 of 100 Page 17

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

We have,

∠DAB = 50o


By degree measure theorem


∠BOD = 2 ∠BAD


x = 2 * 50o


= 100o


Since, ABCD is a cyclic quadrilateral


Then,


∠A + ∠C = 180o


50o + y = 180o


y = 130o


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