Question

I need to find x and y

Answer 1

Using the same-side interior angles theorem,

`8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}`

Using vertical angles,

`6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}`