Question

Z23w1120х23YWhat is the measure of angle Z?

Answer 1

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:

`\begin{gathered} \angle W=\angle X \\ \angle Z=\angle Y \end{gathered}`

Also, the sum of two different angles must be equal to 180, therefore, we have the following relationship:

`\angle W+\angle Z=180`

Replacing the value of angle W:

`112+\angle Z=180`

Subtracting 112 to both sides:

`\begin{gathered} \angle Z=180-112 \\ \angle Z=68 \end{gathered}`

Therefore, the measure of angle Z is 68.