One of the angles of the triangle is 16 degrees and the difference between the values

One of the angles of the triangle is 16 degrees and the difference between the values of the other two is 28 find the values of the angles of the triangle.

It is known from the condition that one of the angles of the triangle is 16 °, and the difference in the values of the other two is 28 °. In order to find the values of the angles of the triangle, we compose and solve the equation.

Let’s denote by the variable x ° the degree measure of the second angle, then the third angle can be written as (x + 28) °.

The angles of a triangle add up to 180 °.

We compose and solve the equation:

x + (x + 28) + 16 = 180;

2x = 180 – 16 – 28;

2x = 136;

x = 136: 2;

x = 68 ° second angle,

68 + 28 = 96 ° third corner of the triangle.

Answer: 68 °; 96 °.