If the angles of a triangle are in the ratio 2 : 3 : 4, find the angles.

Since the angles of triangle are in the ratio 2 : 3 : 4, let the angles be 2x, 3x and 4x. Sum of angle of triangle = 180° ∴ 2x + 3x + 4x = 180 ⇒ 9x = 180° ⇒ x = ⇒ x = 20° ∴ x = 20°, 2x = 40°, 3x = 60°, 4x = 80°. Hence, the angles of triangle are 40°, 60°, 80°.