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spayn [35]
4 years ago
9

Two adjacent supplementary angles are

Mathematics
1 answer:
slava [35]4 years ago
3 0

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

m\angle ZPB=90^o ----> given problem

m\angle APZ=90^o ----> given problem

so

m\angle ZPB+m\angle APZ=180^o

∠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

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