Answer
I) 19
Work Step by Step
The two labeled angles form a linear pair, because their non-common rays form a line.
\begin{array} {ll}
\\2x+(8x-10)=180 & \text{Definition of Linear Pair}
\\10x-10=180 & \text{Combine like terms}
\\10x=190 & \text{Addition Property of Equality}
\\x=19 & \text{Division Property of Equality}
\end{array}