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In a ΔABC ∠A : ∠B : ∠C = 2 : 3 : 4. A line CD drawn || to AB, then the ∠ACD is :
Answer & Solution
Correct Answer:
Option
A
According to question,
Given :
∠A + ∠B + ∠C = 180°
2 + 3 + 4 = 9 units
∴ 9 units = 180°
1 unit = 20°
∴ ∠A = 2 × 20° = 40°
∠B = 3 × 20° =60°
∠C = 4 × 20° = 80°
and AB || CD
∠B = ∠C
∴ ∠ACD = 180° - 60° - 80°
∠ACD = 40°
Given :
∠A + ∠B + ∠C = 180°
2 + 3 + 4 = 9 units
∴ 9 units = 180°
1 unit = 20°
∴ ∠A = 2 × 20° = 40°
∠B = 3 × 20° =60°
∠C = 4 × 20° = 80°
and AB || CD
∠B = ∠C
∴ ∠ACD = 180° - 60° - 80°
∠ACD = 40°
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