Answer:
∠APW and ∠ZPW
Step-by-step explanation:
Pair of complementary angles : A pair of angles whose sum is 90° is said to be the pair of complementary angles.
Option 1 : ∠APB and ∠ZPB
Since APB is straight line
So, ∠APB = 180°
∠ZPB = 90°(Given)
So, ∠APB +∠ZPB=180°+ 90°= 270°
Since the sum of angles is not 90°.
Thus Option 1 is not a pair of complementary angles.
Option 2: ∠APZ and ∠BPZ
∠APZ = 90°
∠BPZ = 90°
So, ∠APZ +∠BPZ =90°+90° =180°
Since the sum of angles is not 90°.
Thus Option 2 is not a pair of complementary angles.
Option 3 : ∠APW and ∠ZPW
∠APW+∠ZPW=∠APZ
∠APZ =90°(Given)
So,∠APW+∠ZPW=90°
Since the sum of angles is 90°.
Thus Option 3 is a pair of complementary angles.
Option 4: ∠WPZ and ∠BPZ
∠WPZ + ∠BPZ = ∠WPZ + 90°
Since the sum of angles must be greater than 90°.
Thus Option 4 is not a pair of complementary angles.
Hence ∠APW and ∠ZPW are the pair of complementary angles.
