The type of the angles are
x = acute angle
y = obtuse angle
z = acute angle
How to determine the type of the angles
From the question, we have the following parameters that can be used in our computation:
The figure
To answer this question, we make use of the following assumption
That the line that connects the angles y and z is a perfect vertical line
Using the above as a guide, we have the following:
The angles x and z must be less than 90 degrees; This means that they are acute angles
The angle y must be greater than 90 degrees; This means that it is an obtuse angle