2x, 3x and 4x angles of the triangle. Using Sum Throrem what's the smallest angle

Let the three angles of the triangle be x, 2x, and 3x.

According to the Sum Theorem in triangles, the sum of all angles in a triangle is 180 degrees.

So, x + 2x + 3x = 180
6x = 180
x = 30

Therefore, the angles of the triangle are 30 degrees, 60 degrees, and 90 degrees.

The smallest angle in the triangle is 30 degrees.