Question

What value of x would prove a || b (19x - 13) (6x - 7) a.8 b.9 c.10 d. 11

Answer 1

The lines a and b are cut by a transversal, which means if a and b are parallel lines, then

`\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}`

The correct answer is option A; x = 8