The lines a and b are cut by a transversal, which means if a and b are parallel lines, then
[tex]\begin{gathered} 19x-13+6x-7=180 \\ \text{This is because the angle that corresponds to 19x-13 is a supplementary angle alongside }6x-7 \\ \text{Therefore, if 6x-7+supplement=180, then} \\ \text{Supplement and 19x-13 are corresponding angles} \\ \text{Hence;} \\ 19x-13+6x-7=180 \\ \text{Collect all like terms} \\ 19x+6x=180+13+7 \\ 25x=200 \\ \text{Divide both sides by 25} \\ x=8 \end{gathered}[/tex]The correct answer is option A; x = 8