One of the angles of the triangle is three times the second angle and 5 degrees less than the third.

One of the angles of the triangle is three times the second angle and 5 degrees less than the third. Find the corners of the triangle.

1. Let’s denote the degree measure of the second angle through x.

2. Let’s define the degree measure of the first angle:

3 * x = 3x.

3. Find out the degree measure of the third angle:

(3x + 50).

4. Let’s compose and solve the equation:

3x + x + (x + 50) = 180;

3x + x + x + 50 = 180;

5x + 50 = 180;

5x = 180 – 50;

5x = 175;

x = 175: 5;

x = 35.

5. The degree measure of the second angle is x = 35.

6. What is the degree measure of the first angle?

3 * 350 = 105.

7. What is the degree measure of the third angle?

1050 + 50 = 110.

Answer: the angles of the triangle are 35, 105, 110.