Geometry math question no Guessing and Please show work thank you

The sum of Supplementary angle =180 degrees
(2x+3)⁰ +(3x+2)⁰=180⁰
adding like terms
5x+5=180
5x=180-5
5x=175
x=175/5 =35 degrees
so the two angles are :
(2x+3)⁰ =2*35 +3 = 73⁰
(3x+2)⁰=3*35 +2 =105+2 = 107⁰
so correct option is D , 73⁰ and 107⁰