Question

if three angle A is equals to 4 Angle B is equals to 6 angle C calculate the angles

Answer 1

: In ΔABC, 2∠A = 3∠B = 6 ∠C. Let 2∠A = 3∠B = 6 ∠C = x ∠A = x/2 ∠B = x/3 ∠C = x/6 ∠A + ∠B + ∠C = 180° ⇒ x/2 + x/3 + x/6 = 180° ⇒ (3x + 2x + x) / 6 = 180° ⇒ 6x / 6 = 180° ⇒ x = 180° ∴ ∠A = 180°/2 = 90°, ∠B = 180°/3 = 60°, ∠C = 180°/6 = 30