Question

refer to the figure. select two vertical angles. a) ∠mqn and ∠nqr b) ∠mqs and ∠nqs c) ∠srq and ∠trp d) ∠prt and ∠srt

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

In option B, $\angle MQS$ and $\angle NQS$ share a common side and are adjacent, not vertical. In option C, $\angle SRQ$ and $\angle TRP$ are not formed by the intersection of the same two lines. In option D, $\angle PRT$ and $\angle SRT$ are adjacent. In option A, $\angle MQN$ and $\angle NQR$ are formed by the intersection of two lines and are opposite each other.

Answer:

A. $\angle MQN$ and $\angle NQR$