Two adjacent supplementary angles are (options 1-4 above question)

Option D. ∠ZPB and ∠APZ are the adjacent supplementary angles.

Step-by-step explanation:

As given in the question four angles ∠APW + ∠WPZ + ∠ZPB = 180°(angles given at a point  P on a straight line)

Now we take the options.

A). ∠APW + ∠WPZ = 90° ( Complimentary angles so not the supplementary angles)

B). ∠ZPW + ∠ZPB < 180° ( So angles are not the supplementary angles)

C). ∠BPZ + ∠WPA < 180° ( So angles are not the supplementary angles)

D). ∠ZPB + ∠APZ = 180° ( Supplementary angles)

Therefore Option D. ∠ZPB and ∠APZ are the adjacent supplementary angles.

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