A ray is drawn from the vertex of the right angle so that it divides the right angle into two angles

A ray is drawn from the vertex of the right angle so that it divides the right angle into two angles, one of which is greater by 20 degrees. find the size of each of the resulting angles.

A ray is drawn from the vertex of the right angle according to the specification. Obviously, if this ray does not coincide with any ray that forms this right angle, then two angles are formed, the sum of the degree measures of which will be equal to the degree measure of the right angle.
As you know, the degree measure of a right angle is 90. Suppose that one of the angles (more precisely, a smaller angle) has a degree measure equal to x. Then, according to the conditions of the task, the other angle will have a degree measure equal to x + 20.
Thus, we have: x + x + 20 = 90. Let’s solve the resulting equation: 2 * x = 90 – 20, whence x = 70: 2 = 35.
This means that the smaller angle is 35 °. Therefore, the other angle is 35 ° + 20 ° = 55 °.
Answer: 35 ° and 55 °.