Question

which angles are adjacent angles?
∠tur and ∠qru
∠srp and ∠tur
∠vuw and ∠vur
∠vuw and ∠qru

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles have a common vertex, a common side, and no overlapping interior regions.

Step2: Analyze each option

• For \(\angle TUR\) and \(\angle QRU\): Different vertices (\(U\) and \(R\)), so not adjacent.
• For \(\angle SRP\) and \(\angle TUR\): Different vertices (\(R\) and \(U\)), so not adjacent.
• For \(\angle VUW\) and \(\angle VUR\):
• Common vertex \(U\).
• Common side \(UV\).
• No overlapping interior regions. So they are adjacent.
• For \(\angle VUW\) and \(\angle QRU\): Different vertices (\(U\) and \(R\)), so not adjacent.

Answer:

\(\angle VUW\) and \(\angle VUR\)