Question

Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the smallest angle of the

triangle is______.​

Answer 1

Step-by-step explanation:

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°.

Answer 2

Given, the ratio of angles of a triangle is 2:4:3. Let angles of a triangle be ∠A,∠Band∠C. Hence, the smallest angle of a triangle is40∘.