Angle A of triangle ABC is 45 degrees, and angle C is 4 times the angle B. Find the degree measure of angles B and C.

To solve this task, you need to make an equation. Let the degree measure of angle B is equal to x degrees, then the degree measure of angle C is equal to 4x degrees. Knowing that the sum of all the angles of the triangle is 180 degrees and the angle A is 45 degrees, we draw up an equation.

45 + x + 4x = 180;

45 + 5x = 180;

5x = 180 – 45;

5x = 135;

x = 135/5;

x = 27.

Angle B is 27 degrees, angle C is 4 * 27 = 108 degrees.

Answer: 27 degrees, 108 degrees.