In a triangle, one of the angles is 2 times smaller than the other and 20 degrees smaller than the third.

| April 12, 2021 | education

In a triangle, one of the angles is 2 times smaller than the other and 20 degrees smaller than the third. Find the angles of a triangle if the sum of the angles of the triangle is 180 degrees.

Let the angles of this triangle be A, B and C.

To solve this problem, we need to introduce an unknown variable x, behind which we denote the angle A. That is, A = x. Therefore, from the condition of the problem, B = 2 * x and C = x + 20.

Let’s make an equation using the fact that the sum of the angles of a triangle is always 180: x + 2 * x + x + 20 = 180.

Let’s reduce the variables and find x: 4 * x + 20 = 180; 4 * x = 180 – 20 = 160; x = 160/4 = 40.

Hence, the angle A = 40. Then the angle B = 2 * 40 = 80, and the angle C is equal to 40 + 20 = 60.

Therefore, our answer is: 40; 60; 80.



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.