Question

Find the value of Angle z

Answer 1

`\huge\boxed{\bf\:71^(\circ)}`

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°.

`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)}`

`\rule{150pt}{2pt}`