Question

select all the pairs of supplementary angles.
∠lkn and ∠jki
∠mnk and ∠onk
∠mnk and ∠mnp
∠jki and ∠jkn

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if the sum of their measures is 180°.

Step2: Analyze ∠LKN and ∠JKI

They form a linear - pair (a straight - line at point K), so ∠LKN+∠JKI = 180°.

Step3: Analyze ∠MNK and ∠ONK

They form a linear - pair (a straight - line at point N), so ∠MNK+∠ONK = 180°.

Step4: Analyze ∠MNK and ∠MNP

They form a linear - pair (a straight - line at point N), so ∠MNK+∠MNP = 180°.

Step5: Analyze ∠JKI and ∠JKN

They form a linear - pair (a straight - line at point K), so ∠JKI+∠JKN = 180°.

Answer:

∠LKN and ∠JKI, ∠MNK and ∠ONK, ∠MNK and ∠MNP, ∠JKI and ∠JKN