The first angle of the triangle is 20 degrees less than the second, and the third angle is 14 degrees

The first angle of the triangle is 20 degrees less than the second, and the third angle is 14 degrees greater than the second. Find the angles of the triangle

Imagine the value of the first angle, for which we take the variable a.

Then the value of the second angle will be expressed as a + 20, while the third through: a + 20 + 14 = a + 34.

Since the sum of the angles is 180, then we write down the equation and determine the angles:

a + a + 20 + a + 34 = 180;

3a = 126;

a = 42;

42 + 20 = 62;

42 + 34 = 76.

Answer: 42 °, 62 °, 76 °.