If the angles of a triangle are in the ratio 4 : 5 : 6, find the smallest angle (in °).

Correct option is A

Given:

The angles of a triangle are in the ratio 4:5:6.

Formula Used :

The sum of the angles in a triangle is 180°.

Solution:

Let the angles of the triangle be 4x, 5x, and 6x.

According to the problem,4x + 5x + 6x = 180°

15x = 180°

x = 12°

The angles are:

4x = 4 $$\times$$​ 12° = 48°

5x = 5$$\times$$12° = 60°​

6x = 6 $$\times$$12° = 72°​

The smallest angle is 48°.

Therefore, the smallest angle of the triangle is 48°.