Find the angles of a triangle if you know that the second angle is three-tenths of the first angle

Find the angles of a triangle if you know that the second angle is three-tenths of the first angle, and the third is 20 degrees greater than the second.

The angles of a triangle add up to 180 °.

Let’s solve this problem using the equation.

Let the first angle be x, then the second angle is 0.3x, and the third angle is 0.3x + 20. Let’s compose and solve the equation.

x + 0.3x + 0.3x + 20 = 180;

1.6x + 20 = 180;

1.6x = 180 – 20;

1.6x = 160;

x = 160: 1.6;

x = 100.

100 x 0.3 = 30.

30 + 20 = 50.

Answer: The angles of the triangle are 100 °, 30 ° and 50 °.