So angle CBD and ABC are a linear pair, which means that the two angles are supplementary (add up to 180°). Using this info, we can solve the equation for x as such:
[tex] 6x-60+8x+16=180\\ 14x-44=180\\ 14x=224\\ x=16 [/tex]
Now that we got x, plug in 16 into x into 6x-60 and solve:
[tex] 6(16)-60\\ 96-60\\ 36 [/tex]
In short, Angle ABC is 36°
