Question:
In figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.
Solution:
∠AOC = 150°
∴ ∠AOC + reflex ∠AOC = 360° [Complex angle]
⇒ 150° + reflex ∠AOC = 360°
⇒ reflex ∠AOC = 360° − 150°
⇒ reflex ∠AOC = 210°
⇒ 2∠ABC = 210° [By degree measure theorem]
⇒ ∠ABC = 210°/2 = 105°
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