1. In trigonometry, it is known that the sum of all the angles of a triangle is 180 °.
2. If, according to the problem statement, it is specified that the triangle is rectangular, then the sum of two acute angles is equal to 180 ° – 90 ° = 90 °.
Let’s designate the smaller acute angle as x, then the second 2 times larger is equal to 2 x.
Let’s write the equation and find the value of x.
x + 2 x = 90 °;
3x = 90 °;
x = 30 °.
The larger acute angle is 2 x = 2 * 30 ° = 60 °.
Answer: One acute angle of the triangle is 30 °, the other 60 °.
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.