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QUESTION IMAGE

select all the pairs of adjacent angles. ∠onk and ∠onp ∠mnk and ∠mnp ∠j…

Question

select all the pairs of adjacent angles.
∠onk and ∠onp
∠mnk and ∠mnp
∠jkn and ∠lkn
∠mnk and ∠onk

Explanation:

Step1: Recall adjacent - angle definition

Two angles are adjacent if they have a common vertex and a common side and no non - common interior points.

Step2: Analyze ∠ONK and ∠ONP

They have common vertex N and common side $\overrightarrow{ON}$, so they are adjacent.

Step3: Analyze ∠MNK and ∠MNP

They have common vertex N and common side $\overrightarrow{MN}$, so they are adjacent.

Step4: Analyze ∠JKN and ∠LKN

They have common vertex K and common side $\overrightarrow{KN}$, so they are adjacent.

Step5: Analyze ∠MNK and ∠ONK

They have common vertex N and common side $\overrightarrow{KN}$, so they are adjacent.

Answer:

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