One of the angles of the triangle is 3 times smaller than the other angle and 35 degrees

One of the angles of the triangle is 3 times smaller than the other angle and 35 degrees smaller than the third. Find the angles of the triangle

The solution of the problem:
1. Let’s denote one corner of the triangle through x degrees.
2. Let’s find out what the other angle of the triangle is equal to.
3 * x = 3x degrees.
3.Let’s find out what the third angle of the triangle is.
(x + 35) degrees.
We know that the sum of all three angles of a triangle is 180 degrees.
4. Let’s compose and solve the equation:
x + 3x + (x + 35) = 180
x + 3x + x + 35 = 180
x + 3x + x = 180-35
5x = 145
x = 145/5
x = 29
5. One angle of the triangle is x = 29 degrees.
6.The other angle is 3x = 3 * 29 = 87 degrees.
7. The third angle is x + 35 = 29 + 35 = 64 degrees.
Answer: 1 angle = 29 degrees. 2nd angle = 87 gr. 3 corner = 64 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.