Question

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

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles are two angles whose sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each pair of angles

• For ∠QRU and ∠SRP: These are vertical angles, not supplementary. Vertical angles are equal.
• For ∠VUR and ∠TUW: These are vertical angles, not supplementary.
• For ∠VUR and ∠TUR: ∠VUR and ∠TUR are adjacent angles and they form a straight - line (the line TW). So, ∠VUR+∠TUR = 180 degrees.
• For ∠QRP and ∠VUW: There is no relationship that makes their sum 180 degrees.

Answer:

∠VUR and ∠TUR