Question

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

Explanation:

Step1: Recall Vertical Angles Definition

Vertical angles are formed by two intersecting lines and are opposite each other, with equal measures.

Step2: Analyze Option A

\(\angle MQN\) and \(\angle NQR\): These are adjacent angles (share a common side \(QN\)) and form a linear pair, not vertical angles.

Step3: Analyze Option B

\(\angle MQS\) and \(\angle NQS\): These are adjacent angles (share \(QS\)) and are supplementary (if on a straight line), not vertical angles.

Step4: Analyze Option C

\(\angle SRQ\) and \(\angle TRP\): When lines \(SP\) and \(TW\) (or relevant intersecting lines) intersect, these angles are opposite each other, fitting the vertical angles definition.

Answer:

C) \(\angle SRQ\) and \(\angle TRP\)