In triangle ABC, the angle B is the right angle A is 56 degrees greater than the angle C. Find the angles of the triangle.

Let us denote through the variable x the degree value of the angle C of the triangle ABC.

Therefore, according to the condition of the problem, the degree value of the angle A of the triangle ABC can be represented in the form (x + 56).

Knowing by the condition of the problem that the triangle ABC is rectangular, in which the degree value of the angle B is equal to 90 °, we draw up an equation and determine the degree values of the angles A and C:

x + (x + 56) = 90;

2x = 34;

x = 17;

90 – 17 = 73.

Answer: The degree value of the angle C of this triangle is 17 °, the angle A is 73 °.