Question

calculate the angles of a triangle if they are in the ratio 4 : 5: 6

Answer 1

4x + 5x + 6x = 180

x = 180/15 = 12

Hope it helps ❤

Answer 2

We know that sum of angles of a triangles is 180°

∴ ∠A + ∠B + ∠C = 180°

But ∠A : ∠B : ∠C = 4 :  5 : 6

Let ∠A = 4x, ∠B = 5x and ∠c = 6x,

Then 4x + 5x + 6x = 180°

⇒ 15x = 180° ⇒ x = 180°/15 = 12°

∴ ∠A = 4x = 4 × 12° = 48°

∠B = 5x = 5 × 12° = 60°

∠C = 6x = 6 × 12° = 72°

Hope this was helpful