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

Question

In Fig. 16.121, it is given that O is the centre of the circle and &#x2220; AOC =150&#xB0;. Find &#x2220; ABC .

Philoid · Accepted Answer

We have,

∠AOC = 150^o

Therefore,

∠AOC + Reflex ∠AOC = 360^o

Reflex ∠AOC = 210^o

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

∠ABC = 105^o