Question

please answer this question fast ​

Answer 1

Step-by-step explanation:

3∠A = 4∠B = 6∠C

⇒ ∠A : ∠B : ∠C = 3 : 4 : 6

Let ∠A be equal to x°

∴ ∠B = 3x°/4

∴ ∠C = x°/2

∠A + ∠B + ∠C = 180° [Sum of all the angles of a triangle are always equal to 180°]

⇒ x° + (3x°/4) + (x°/2) = 180°

⇒ (4x° + 3x° + 2x°)/4 = 180°

⇒ 9x° = 720°

⇒ x = 80

∴ ∠A = x° = 80°

∴ ∠B = 3x°/4 = (3×80°)/4 = 60°

∴ ∠C = x°/2 = 80°/2 = 40°