Question

qs and tv are parallel lines. which angles are supplementary angles? ∠vur and ∠tuw ∠vur and ∠qru ∠vur and ∠srp ∠vur and ∠vuw

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°. Adjacent angles formed by two intersecting lines are supplementary.

Step2: Analyze each option

• $\angle VUR$ and $\angle TUW$ are vertical - angles, not supplementary.
• $\angle VUR$ and $\angle QRU$ are corresponding angles, not supplementary.
• $\angle VUR$ and $\angle SRP$ are alternate - exterior angles, not supplementary.
• $\angle VUR$ and $\angle VUW$ are adjacent angles formed by the intersection of line $PW$ and line $TV$. Their sum is 180°, so they are supplementary.

Answer:

$\angle VUR$ and $\angle VUW$