In △ABC, 2∠A=3∠B=6∠C. Find ∠A,∠B and ∠C. *
∠A=30°,∠B=60° and ∠C=90°
∠A=90°,∠B=45° and ∠C=15°
∠A=60°,∠B=60° and ∠C=60°
∠A=90°,∠B=60° and ∠C=30°
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Answer:
OPTION D
∠A=90°,∠B=60° and ∠C=30°
Step-by-step explanation:
GIVEN:
2∠A = 6∠C => ∠A = 3∠C
3∠B = 6∠C => ∠B = 2∠C
∠A + ∠B + ∠C = 180°
3∠C + 2∠C + ∠C = 180°
6∠C = 180°
∠C = 180/6 = 30°
∠B = 2∠C = 60°
∠A = 6∠C = 90°
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