Question

select all the pairs of adjacent angles.
∠rqs and ∠rqn
∠onq and ∠rqn
∠pqn and ∠mnl
∠pqn and ∠rqn

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze ∠RQS and ∠RQN

They have common vertex Q and common side RQ. So they are adjacent.

Step3: Analyze ∠ONQ and ∠RQN

They have common vertex N and common side QN. So they are adjacent.

Step4: Analyze ∠PQN and ∠MNL

They do not share a common vertex or a common side. So they are not adjacent.

Step5: Analyze ∠PQN and ∠RQN

They have common vertex Q and common side QN. So they are adjacent.

Answer:

∠RQS and ∠RQN, ∠ONQ and ∠RQN, ∠PQN and ∠RQN