Question

find the value of each variable.
y =
z =

Explanation:

Step1: Find z

Since 111° and z° are supplementary (they form a linear pair), we use the property that supplementary angles sum to 180°. So, $z = 180 - 111$.
$z = 69$

Step2: Find y

The sum of the interior angles of a quadrilateral is 360°. We know three angles: 96°, 80°, and z = 69°. Let's denote the fourth angle as y. So, $y + 96 + 80 + 69 = 360$. First, sum the known angles: $96 + 80 + 69 = 245$. Then, $y = 360 - 245$.
$y = 115$

Answer:

y = 115
z = 69