Question

select all the pairs of supplementary angles.
∠pol and ∠nol
∠nol and ∠noq
∠mlj and ∠mlo
∠noq and ∠poq

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze ∠POL and ∠NOL

∠POL and ∠NOL form a straight - line at point O on line NP, so ∠POL+∠NOL = 180°, they are supplementary.

Step3: Analyze ∠NOL and ∠NOQ

∠NOL and ∠NOQ form a straight - line at point O on line JQ, so ∠NOL+∠NOQ = 180°, they are supplementary.

Step4: Analyze ∠MLJ and ∠MLO

∠MLJ and ∠MLO form a straight - line at point L on line JQ, so ∠MLJ+∠MLO = 180°, they are supplementary.

Step5: Analyze ∠NOQ and ∠POQ

∠NOQ and ∠POQ form a straight - line at point O on line NP, so ∠NOQ+∠POQ = 180°, they are supplementary.

Answer:

∠POL and ∠NOL, ∠NOL and ∠NOQ, ∠MLJ and ∠MLO, ∠NOQ and ∠POQ