Question

18 choose the pair of complementary angles.$angle aob = 29^circ$, $angle poq = 23^circ$, $angle xoz = 7^circ$, $angle nom = 61^circ$a $angle aob$ and $angle xoz$b $angle aob$ and $angle nom$c $angle poq$ and $angle xoz$d $angle nom$ and $angle xoz$

Explanation:

Step1: Recall complementary angle rule

Complementary angles sum to $90^\circ$.

Step2: List all given angles

$\angle AOB=29^\circ$, $\angle POQ=23^\circ$, $\angle XOZ=7^\circ$, $\angle NOM=61^\circ$

Step3: Test Option A sum

$\angle AOB + \angle XOZ = 29^\circ + 7^\circ = 36^\circ
eq 90^\circ$

Step4: Test Option B sum

$\angle AOB + \angle NOM = 29^\circ + 61^\circ = 90^\circ$

Step5: Verify remaining options (optional)

$\angle POQ + \angle XOZ = 23^\circ + 7^\circ = 30^\circ
eq 90^\circ$
$\angle NOM + \angle XOZ = 61^\circ + 7^\circ = 68^\circ
eq 90^\circ$

Answer:

B. $\angle AOB$ and $\angle NOM$