Question

refer to the figure. select two adjacent angles.

a) ∠mqs and ∠rqn
b) ∠mqn and ∠nqr
c) ∠rtp and ∠trs
d) ∠qrt and ∠mqs

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• Option A: $\angle MQS$ and $\angle RQN$ do not share a common vertex or side.
• Option B: $\angle MQN$ and $\angle NQR$ share a common vertex \(Q\) and a common side \(QN\).
• Option C: $\angle RTP$ and $\angle TRS$ do not share a common vertex or side.
• Option D: $\angle QRT$ and $\angle MQS$ do not share a common vertex or side.

Answer:

B. $\angle MQN$ and $\angle NQR$