Angle A divide angle B and divide by angle C = 2: 3: 1. Find corners

According to this proportion, we will compose an equation, where x is one part of it, expressed in degrees. On the left side of the equation, the sum of all the angles of the triangle, on the right side is 180 ° (see point 2). It turns out:

2x + 3x + x = 180,

6x = 180,

x = 30 °.

We find the angles according to the proportion:

∠A = 2x = 60 °,

∠B = 3x = 90 °,

∠C = x = 30 °.