2∠A=3∠B=4∠C,即∠A=(3/2)∠B,∠C=(3/4)∠B
∵∠A+∠B+∠C=180°
∴(3/2)∠B+∠B+(3/4)∠B=180°
解得∠B≈55.38°
∠A≈80.37°
∠C≈44.25°