# The sides of two corners are mutually perpendicular. One of them is 54 degrees larger than the other. Find these corners.

1. Let’s denote the degree measure of the smaller angle through x.

2. Determine the degree measure of the larger angle:

(x + 54˚).

3. Since the sides of the two angles are mutually perpendicular, we compose and solve the equation:

(x + 54˚) + x = 90˚;

x + 54˚ + x = 90˚;

2x + 54˚ = 90˚;

2x = 90˚ – 54˚;

2x = 36˚;

x = 36˚: 2;

x = 18˚.

4. The degree measure of the smaller angle is x = 18˚.

5. What is the degree measure of the larger angle?

x + 54˚ = 18˚ + 54˚ = 72˚.

Answer: The degree of the smaller angle is 18˚, the degree of the larger angle is 72˚. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.