The angles of the triangle are proportional to the numbers 2, 3 and 4. Find all the corners of the triangle.

1. Let’s denote one part by x.
2. Determine the value of the first angle of the triangle:
2 * x = 2x.
3. Find out the degree measure of the second angle of the triangle:
3 * x = 3x.
4. Determine the degree measure of the third angle of the triangle:
4 * x = 4x.
5. Let’s compose and solve the equation:
2x + 3x + 4x = 180˚;
9x = 180˚;
x = 180˚: 9;
x = 20˚.
6. One part is equal to x = 20˚.
7. What is the degree measure of the first corner of the triangle?
2 * x = 2 * 20˚ = 40˚.
8. What is the value of the second angle of the triangle?
3 * x = 3 * 20˚ = 60˚.
9. What is the third angle of the triangle?
4 * x = 4 * 20˚ = 80˚.
Answer: the angles of the triangle are 40˚, 60˚, 80˚.