Adjacent corners are angles that have a common vertex and a common side, and together they make up a flat angle that is 180 degrees. Then:
angle 1 + angle 2 = 180 degrees.
we denote angle 1 as x, then angle 2 as 5x (by condition, angle 2 is 5 times greater than angle 1).
x + 5x = 180;
6x = 180;
x = 180/6;
x = 30.
angle 1 = x = 30 degrees, angle 2 = 5x = 5 * 30 = 150 (degrees).
Answer: angle 1 = 30 degrees, angle 2 = 150 degrees.
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.