Question

refer to the figure. select two adjacent angles.
a) ∠mqs and ∠rqn
b) ∠mqn and ∠nqr
c) ∠rtp and ∠trs

Explanation:

Step 1: Recall Adjacent Angles Definition

Adjacent angles share a common side and vertex, and their non - common sides are on either side of the common side.

Step 2: Analyze Option A

For \(\angle MQS\) and \(\angle RQN\), they do not share a common side. So, they are not adjacent angles.

Step 3: Analyze Option B

For \(\angle MQN\) and \(\angle NQR\), they share the common vertex \(Q\) and the common side \(QN\). Also, their non - common sides \(QM\) and \(QR\) are on either side of \(QN\). So, they satisfy the definition of adjacent angles.

Step 4: Analyze Option C

For \(\angle RTP\) and \(\angle TRS\), we need to check the figure. From the given figure, these angles do not seem to share a common side (or the way they are formed does not meet the adjacent angle criteria as per the figure's structure).

Answer:

B. \(\angle MQN\) and \(\angle NQR\)