Find the angles of triangle ABC if angle A: angle B: angle C are 2: 3: 4.

Let’s solve this problem using the equation.
Let the degree measure of angle A be 2 * x degrees, then the degree measure of angle B is 3 * x degrees, and the degree measure of angle C is 4 * x degrees. We know that the sum of the degree measures of the angles of a triangle is 180 degrees. Let’s make the equation:
2 * x + 3 * x + 4 * x = 180;
x * (2 + 3 + 4) = 180;
x * 9 = 180;
x = 180: 9;
x = 20 degrees;
20 * 2 = 40 degrees – the degree measure of the angle A;
20 * 3 = 60 degrees – the degree measure of the angle B;
20 * 4 = 80 degrees – the degree measure of the angle C.
Answer: 40 degrees; 80 degrees; 60 degrees.