Let the triangle ABC angles be 1: 2: 3. Find the degree measure of the angles.

To find the degree measures of angles, you need to draw up an equation. Let the first angle be equal to X, then, following from the condition of the problem, the value of the second angle is 2 * X, the value of the third angle is 3 * X. In total, the sum of the angles in the triangle is 180, we will compose and solve the equation:
X + 2 * X + 3 * X = 180;
6 * X = 180;
X = 180/6;
X = 30 degrees – the first angle;
2 * X = 2 * 30 = 60 degrees – the second angle;
3 * X = 3 * 30 = 90 degrees – the third angle;
Answer: 30, 60 and 90 degrees.