Step 1: Write out the formula
[tex]\begin{gathered} \alpha+^{\prime}\beta=180^0 \\ \text{where} \\ \alpha,\beta\text{ are angles on a straight line as shown in the image below} \end{gathered}[/tex]Step 2: Write out the given values and substitute them into the formula
[tex]\begin{gathered} <\text{XYW}=\alpha \\ <\text{XYZ}=\beta=28^0 \\ \text{Therefore} \\ Therefore, the measure of angle XYW in degrees is 152
