For this lines to be parallel the angles shown should be equal, then
[tex]b+32=5b+16[/tex]
solving for b
[tex]\begin{gathered} b+32=5b+16 \\ 32-16=5b-b \\ 16=4b \\ b=\frac{16}{4} \\ b=4 \end{gathered}[/tex]
Therefore the value of b that shows that the lines are parallel is 4.
