Find the value of Angle z

Answer:
[tex]\huge\boxed{\bf\:71^{\circ}}[/tex]
Step-by-step explanation:
Let's take a close look at the figure. 19°, 90° (right angle) & z° form a straight line & are hence supplementary angles.
Then, their sum will add up to 180°.
[tex]19^{\circ} + 90^{\circ} + z^{\circ} = 180^{\circ}\\109^{\circ} + z^{\circ} = 180^{\circ}\\z^{\circ} = 180^{\circ} - 109^{\circ}\\\boxed{\bf\:z^{\circ} = 71^{\circ}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]