Find the measure of each angle: supplementary angles with measures (2x+3) degrees and ((3x+2) degrees

This is the concept of trigonometry, the value of the measure of the supplementary angles can be obtained as follows;
supplementary angles sum up to 180 degrees, thus;
(2x+3)+(3x+2)=180
2x+3+3x+2=180
collecting like terms we get:
2x+3x+3+2=180
5x+5=180
5x=180-5
5x=175
thus;
x=175/5
x=35
Thus the value of the angles will be:
3x+2
=35*3+2
=107
the size of the other angle will be:
180-107
=73