Question

qs and tv are parallel lines. which angles are supplementary angles? ∠vur and ∠vuw ∠vur and ∠srp ∠vur and ∠tuw ∠vur and ∠qru submit work it out not feeling ready yet? these can help

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is $180^{\circ}$.

Step2: Analyze the relationship between $\angle VUR$ and $\angle QRU$

Since $\overleftrightarrow{QS}$ and $\overleftrightarrow{TV}$ are parallel lines and $PW$ is a transversal. $\angle VUR$ and $\angle QRU$ are same - side interior angles. For parallel lines cut by a transversal, same - side interior angles are supplementary. So $\angle VUR+\angle QRU = 180^{\circ}$.

Step3: Analyze other options

• For $\angle VUR$ and $\angle VUW$: They are adjacent angles but not forming a linear pair (sum is not $180^{\circ}$).
• For $\angle VUR$ and $\angle SRP$: $\angle SRP$ and $\angle QRU$ are vertical angles. $\angle VUR$ and $\angle SRP$ are not supplementary.
• For $\angle VUR$ and $\angle TUW$: $\angle TUW$ and $\angle VUR$ are vertical angles (equal, sum is not $180^{\circ}$ if $\angle VUR

eq90^{\circ}$).

Answer:

$\angle VUR$ and $\angle QRU$