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

September 27, 2021 | education

| 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.

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