Let's begin by listing out the information given to us:
This is a parallelogram. One of the characteristics of a parallelogram is that consecutive angles sum up to 180 degrees
11.
We thus have this:
[tex]\begin{gathered} 4x+12+140=180 \\ 4x+152=180 \\ \text{Subtract 152 from both sides, we have:} \\ 4x+152-152=180-152 \\ 4x=28 \\ \frac{4x}{4}=\frac{28}{4} \\ x=7 \end{gathered}[/tex]
