Question

Solve for x. Each figure is a parallelogram questions 11 and 12

Answer 1

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:

`\begin{gathered} 4x+12+140=180 \\ 4x+152=180 \\ \text{Subtract 152 from both sides, we have:} \\ 4x+152-152=180-152 \\ 4x=28 \\ (4x)/(4)=(28)/(4) \\ x=7 \end{gathered}`