**Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is (a) 60° … 180°. Further, simplify it and get the…**

###### Answers:

(b) Given, the ratio of angles of a triangle is 2 : 4 : 3.

Let the angles of a triangle be ∠A, ∠B and ∠C.

∠A = 2x, ∠B = 4x

∠C = 3x , ∠A+∠B+ ∠C= 180°

[sum of all the angles of a triangle is 180°]

2x + 4x + 3x = 180°

9x = 180°

x=180°/9 =20°

∠A=2x=2 x 20° = 40°

∠B = 4x = 4 x 20° = 80°

∠C = 3x = 3 x 20° = 60°

Hence, the smallest angle of a triangle is 40°.