Answer:
∠ZPB and ∠APZ are two adjacent supplementary angles
Step-by-step explanation:
we know that
Two angles are Adjacent when they have a common side and a common vertex
Two angles are supplementary if their sum is equal to 180 degrees
In this problem we have that
[tex]m\angle ZPB=90^o[/tex] ----> given problem
[tex]m\angle APZ=90^o[/tex] ----> given problem
so
[tex]m\angle ZPB+m\angle APZ=180^o[/tex]
∠ZPB and ∠APZ are supplementary angles
and
∠ZPB and ∠APZ have a common side (ZP) and a common vertex (P)
therefore
∠ZPB and ∠APZ are two adjacent supplementary angles