Notice that angles YXW and ZXY are supplementary angles, therefore:
[tex]\measuredangle YXW+\measuredangle ZXY=180^{\circ}[/tex]
Substituting ∡YXW=110° and solving for ∡ZXY we get:
[tex]\measuredangle ZXY=180^{\circ}-110^{\circ}=70^{\circ}[/tex]
Also, angles XYZ and ZXY are complementary angles, then:
[tex]\measuredangle XYZ+\measuredangle ZYX=90^{\circ}[/tex]
Substituting ∡ZXY=70° and solving for ∡XYZ we get:
[tex]\begin{gathered} \measuredangle XYZ+70^{\circ}=90^{\circ} \\ \measuredangle XYZ=20^{\circ} \end{gathered}[/tex]
