Question

Angles of a triangle are in ration 2:4:3. The smallest angle of the triangle is:

Answer 1

Step-by-step explanation:

Let the ratio of the triangles be x.

Let angle 1 = 2x

angle 2 = 3x

angle 3 = 4x

We know that, sum of the three angles of a triangle is 180°.

2x+4x+3x=180°

9x=180°

x=20°

angle 1 = 2x = 2(20°) = 40°

angle 2 = 3x = 3(20°)=60°

angle 3 = 4x = 4(20°)=80°

Clearly, the smallest angle of the triangle is 40°.

Hope it helps.