The sum of the interior angles of a triangle is 180 degrees. The first angle is 30 degrees greater than the second

The sum of the interior angles of a triangle is 180 degrees. The first angle is 30 degrees greater than the second, and the third angle is 20 degrees less than the first. Find the angles of a triangle by equation.

Let x ° be the first angle of the triangle, then the second angle will be (x – 30) °, and the third angle will be (x – 20) °. The sum of all the angles of a triangle is 180 °. Let’s make an equation.

x + (x – 30) + (x – 20) = 180;

x + x – 30 + x – 20 = 180;

3x = 180 + 50;

3x = 230;

x = 230: 3;

x = 76 2/3 ° – the first angle.

76 2/3 – 30 = 46 2/3 ° second angle.

76 2/3 – 20 = 56 2/3 ° – third angle.

Answer: the angles of the triangle are 76 2/3 °, 46 2/3 °, 56 2/3 °.