Find the angles of the triangle if they are proportional to the numbers 2,3,4.

Let the angle that is less than the other two be equal to the expression 2n.

Then, in accordance with the condition of the problem, another angle can be written using 3n.

Therefore, the angle that is the largest of the three will be expressed in terms of 4n.

Since from the condition of our problem we know for sure that the sum of such angles will be 180 °, then it is possible to write down the equation and find out what each will be equal to:

4n + 3n + 2n = 180;

9n = 180;

n = 20;

20 * 2 = 40;

20 * 3 = 60;

20 * 4 = 80.

Answer: The angles are 40 °, 60 ° and 80 °.