$I n a Δ A B C, s i d e B C i s p r o d u c e d t o D . I f ∠ A B C = 50^{\circ} a n d ∠ A C D = 110^{\circ} t h e n ∠ A = ? (a) 160^{\circ} (b) 60^{\circ} (c) 80^{\circ} (d) 30^{\circ}$

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Solution

ANSWER:
∴ $∠ A + ∠ B = ∠ A C D \Rightarrow ∠ A + 50^{\circ} = 110^{\circ} \Rightarrow ∠ A = 60^{\circ}$
Hence, the correct answer is option (b).

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