Answer
x = 168 degrees
Explanations:
The given diagram is a parallelogram. The measure of the opposite angles are equal. Hence;
[tex]\begin{gathered} \angle A=\angle C \\ \end{gathered}[/tex]
Given the following parameters
[tex]\begin{gathered} \angle A=112^0 \\ \angle C=\frac{2}{3}x^0 \end{gathered}[/tex]
Equate
[tex]\begin{gathered} \frac{2}{3}x=112 \\ \frac{1}{3}x=56 \\ x=3\times56 \\ x=168^0 \end{gathered}[/tex]
Hence the value of x is 168 degrees
