In triangle ABC, A is 2 times greater than angle B, and C is 15 times greater than A. Find all the degree measures of angles.

Let’s solve this problem using the equation.

Let the degree measure of angle B be x degrees, then the degree measure of angle A is 2 * x degrees, and the degree measure of angle C is 2 * x + 15 degrees. We know that the sum of the degree measures of the angles of a triangle is 180 degrees. Let’s compose and solve the equation:

x + 2 * x + 2 * x + 15 = 180 (in order to find the unknown term, you need to subtract the known term from the sum);

x + 2 * x + 2 * x = 180 – 15;

x + 2 * x + 2 * x = 165 (put the common factor outside the brackets, that is, the variable x);

x * (1 +2 + 2) = 165;

x * 5 = 165;

x = 165: 5;

x = 33 degrees – angle B;

33 * 2 = 66 degrees – angle A;

66 + 15 = 81 degrees – angle C.

Answer: 66 degrees; 81 degrees; 33 degrees.