Question
In a triangle ABC, if ∠A + ∠C = 140° and ∠A + 3∠B = 180°, then ∠A is equal to:
Answer: Option C
∠A + ∠B + ∠C = 180°
      (for a triangle)
∠A + ∠C = 140°
then, ∠B = 40°
∠A + 3∠B = 180°
∠A + 120° = 180°
⇒ ∠A = 60°
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∠A + ∠B + ∠C = 180°
      (for a triangle)
∠A + ∠C = 140°
then, ∠B = 40°
∠A + 3∠B = 180°
∠A + 120° = 180°
⇒ ∠A = 60°
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