Given triangle ABC. Find the angles A, B, C, if the angle A: B: C = 2: 3: 4?

From the condition we know that the triangle ABC is given. And it is also known that the angles of a triangle are related as A: B: C = 2: 3: 4. You also need to find the degree measure of the angles of the triangle.
To find the degree measure of the angles of a triangle, we apply the theorem on the sum of the angles of a triangle, which says that the sum of the angles of a triangle is 180 °.
We introduce the similarity coefficient k, then we write down the degree measures of the angles as 2k, 3k and 4k and we get the equation:
2k + 3k + 4k = 180;
9k = 180;
k = 180: 9;
k = 20.
Angle of a triangle:
2 * 20 = 40 °;
3 * 20 = 60 °;
4 * 20 = 80 °.