Two points make a circle for 2 arcs. If the degree measure of one arc is 60 degrees higher than the degree measure

Two points make a circle for 2 arcs. If the degree measure of one arc is 60 degrees higher than the degree measure of the other, then what will be the degree measure of each arc.

We denote by x the degree measure of the smaller arc.
In the initial data for this task, it is reported that the degree measure of one arc exceeds the degree measure of the other by 60 °, therefore, the degree measure of the larger arc should be equal to x + 60 °.
Since these two arcs make up a circle, the sum of the degree measures of these arcs should be equal to 360 ° and we can compose the following equation:
x + x + 60 = 360,
solving which, we get:
2x + 60 = 360;
2x = 360 – 60;
2x = 300;
x = 300/2 = 150 °.
We find the degree measure of the larger arc:
x + 60 = 150 + 60 = 210 °.
Answer: 150 ° and 210 °.