Given the ratio of the angles of a ’ triangle are 2 : 4 : 3.
2x : 4x : 3x
Sum of the angles of a triangle is 180°.
⇒ 2x + 4x + 3x = 180°
⇒ 9x = 180°
⇒ 9x/9 = 180°/9
∴ x = 20°
Angles are
⇒ 2x : 4x :,3x
2(20°) : 4(20°): 3(20°)
40°: 80° : 60°
∴ Angles of a triangle are 40°, 80°, 60°.