The sum of the two angles is 300 degrees, and the difference between these angles is 80 degrees.

It is known from the condition that the sum of two angles is 300 °, and the difference between these angles is 80 °. In order to find these angles, we will compose and solve a system of equations.

Let us denote by the variable x the degree measure of the first angle, and by the variable y the degree measure of the second angle.

We make up the system:

x + y = 300;

x – y = 80.

We solve the system by the addition method.

x + x = 300 + 80;

y = 300 – x.

We solve the first equation of the system:

2x = 380;

x = 380: 2;

x = 190 ° degree measure of the first angle,

y = 300 – 190 = 110 ° the degree measure of the second angle.