Question

If the angles of a triangle are in ratio 1 : 2 : 3, then find each angle of the triangle.

Answer 1

Let the angles of the triangle are x°, 2x° and 3x°

∴ x° + 2x° + 3x° = 180°

⇒ 6x° = 180°

∴ x° = 180°/6 = 30°

∴ I angle = x° = 30°

II angle = 2x° = 2 x 30° = 60°

III angle = 3x° = 3 x 30° = 90°