The degree measure of the first angle of the triangle is 10 degrees greater than the degree of the second

The degree measure of the first angle of the triangle is 10 degrees greater than the degree of the second, and the degree of the third angle is 100 degrees greater than the degree of the first. Find the degree measures of the angles of the triangle.

Let’s denote by x the value of the second angle of the triangle, then its first angle will be equal to (x + 10) degrees, and the third – (x + 10 + 100) degrees. Knowing that the sum of all the angles of the triangle is 180, compose the following equation:

(x + 10) + x + (x + 10 + 100) = 180.

Let us simplify the resulting equation and find the value of x:

3x + 120 = 180,

3x = 180 – 120,

3x = 60,

x = 20.

It turned out that the second angle is 20 °, then the first angle is (20 ° + 10 °) = 30 °, and the third (30 ° + 100 °) = 130 °.