From the condition, we know that one acute angle of a right-angled triangle is 11 ° larger than the other.
In order to find the larger acute angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.
The angles of a triangle add up to 180 °.
In a right-angled triangle, one angle is 90 °, the second angle is denoted by the variable x, and the third is written as (x + 11).
Let’s compose and solve the equation:
x + x + 11 + 90 = 180;
2x = 180 – 90 – 11;
2x = 79;
x = 79: 2;
x = 39.5 °;
One of the acute angles is 39.5 °; and the second 39.5 ° + 11 = 50.5 °
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.