Answer:
y=93°, z=79°
Explanation:
Lines and Angles
There are properties of lines and angles that will help us to find the required values.
The vertex at the bottom left side of the quadrilateral has two angles that were formed when two lines crossed. Those are called linear angles, and they always add up to 180°.
This means that z is the angle needed to complete 180°, that is:
z = 180° - 101° = 79°
Now the quadrilateral must have the sum of its internal angles equal to 360°. We have three of them that sum: 100°+88°+79°=267°.
This means y is the angle needed to complete 360°, or:
y = 360° - 267° = 93°
Answer: y=93°, z=79°