Answer:
z = 66
y = 120
Explanation:
First, we can solve for z because it is supplementary to 114°.
114° + z° = 180°
-114° -114°
z° = 66°
z = 66
Now, we can solve for y using the fact that the interior angles of a quadrilateral add to 360° (think about a rectangle: 4 x 90°).
We have to use the z value that we solved for earlier.
81° + 93° + y° + z° = 360°
↓ substituting in z-value
81° + 93° + y° + 66° = 360°
↓ combining like terms
240° + y° = 360°
-240° -240°
y° = 120°
y = 120