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  1. In a ∆ABC, BC is extended upto D. ∠ACD = 120°, ∠B = 1/2 ∠A. Then ∠A is
    1. 60°
    2. 75°
    3. 80°
    4. 90°
Correct Option: C

We draw a figure triangle ABC whose BC is extended upto D point ,

Exterior ∠ACD = Interior (∠BAC + ∠ABC)

⇒ 120° = ∠A +
∠A
2

⇒ 240 = 2∠A + ∠A
⇒ 3∠A = 240°
⇒ ∠A =
240°
= 80°
3



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