Q2 of 100 Page 17

In Fig. 16.121, it is given that O is the centre of the circle and ∠AOC=150°. Find ∠ABC.

We have,

∠AOC = 150o


Therefore,


∠AOC + Reflex ∠AOC = 360o


Reflex ∠AOC = 210o


2 ∠ABC = 210o (By degree measure theorem)


∠ABC = 105o


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In Fig. 16.120, O is the centre of the circle. If ∠APB=50°, find ∠AOB and ∠OAB.

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In Fig. 16.122, O is the centre of the circle. Find ∠BAC.

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If O is the centre of the circle, find the value of x in each of the following figures :