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:
![6x-60+8x+16=180\\ 14x-44=180\\ 14x=224\\ x=16](https://img.qammunity.org/2019/formulas/mathematics/high-school/98dfbr4wg8chswgp0dseezh8wc5rvyks6k.png)
Now that we got x, plug in 16 into x into 6x-60 and solve:
![6(16)-60\\ 96-60\\ 36](https://img.qammunity.org/2019/formulas/mathematics/high-school/65596kq9s3rhxginhscfef5o7o19h9bt5g.png)
In short, Angle ABC is 36°