Question

Calculate the angles of a triangle, if they are in the ratio 4:5:6.

Answer 1

Step 1: Find the value of x

Let the angle be x, then ∠A = 4x, ∠B = 5x and ∠C = 6x

⇒ 4x + 5x + 6x = ${180}^{\circ }$

⇒ 15x = ${180}^{\circ }$

⇒ x = ${12}^{\circ }$


Step 2: Find the unknown angles

∴ ∠A = 4x = ${48}^{\circ }$

⇒ ∠B = 5x = ${60}^{\circ }$

⇒ ∠C = 6x = ${72}^{\circ }$

Hence, the angles of triangle are ${48}^{\circ }$, ${60}^{\circ }$ and ${72}^{\circ }$.