In this problem we have that
m<1 +m<2=180 -----> by form a linear pair (supplementary angles)
substitute the given values
(3x+6)+(8x-2)=180
solve for x
11x+4=180
11x=180-4
11x=176
x=16
Find the measure f angle 2
m<2=(8x-2)
substitute the value of xc
m<2=8(16)-2
m<2=126 degrees