Question

choose the pair of complementary angles.

a ∠aob and ∠xoz
b ∠aob and ∠nom
c ∠poq and ∠xoz
d ∠nom and ∠xoz

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90°.

Step2: Identify the angle - measures

We have ∠AOB = 29°, ∠POQ = 23°, ∠XOZ = 7°, ∠NOM = 61°.

Step3: Check each option

For option A: ∠AOB+∠XOZ = 29° + 7°=36°≠90°.
For option B: ∠AOB+∠NOM = 29°+61° = 90°.
For option C: ∠POQ+∠XOZ = 23°+7° = 30°≠90°.
For option D: ∠NOM+∠XOZ = 61°+7° = 68°≠90°.

Answer:

B. ∠AOB and ∠NOM