Please help me im confused as heck

Supplementary angles have sum 180°
[tex]\\ \tt\hookrightarrow 5w+1+90+7w-7=180[/tex]
[tex]\\ \tt\hookrightarrow 12w+84=180[/tex]
[tex]\\ \tt\hookrightarrow 12w=96[/tex]
[tex]\\ \tt\hookrightarrow w=8[/tex]