Given:
The objective is to find the type of angle for,
a) x and y
b) y and z.
Step-by-step explanation:
Consider the given figure as,
It is given that AB is parallel to DC and DA is parallel to CB.
a)
If DA is parallel to CB, then consider AB as a transversal.
In the given figure, x and y are angles formed on the same side of the transerversal AB passing through the parallel lines DA and CB.
Hence, x and y are corresponding angles.
b)
If AB is parallel to DC, then consider BC as a transversal.
In the given figure, y and z are angles formed on opposite sides of the transversal BC passing through the parallel lines AB and DC.
Hence, y and z are alternate interior angles.