We are given a trapezoid and we are asked to determine one of its angles. To do that we need to have into account that the following angles are equal:
[tex]\begin{gathered} \angle W=\angle X \\ \angle Z=\angle Y \end{gathered}[/tex]Also, the sum of two different angles must be equal to 180, therefore, we have the following relationship:
[tex]\angle W+\angle Z=180[/tex]Replacing the value of angle W:
[tex]112+\angle Z=180[/tex]Subtracting 112 to both sides:
[tex]\begin{gathered} \angle Z=180-112 \\ \angle Z=68 \end{gathered}[/tex]Therefore, the measure of angle Z is 68.
