Question

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

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze the relationship between the lines and angles

Since \(TV\parallel QS\) and \(WP\) is a transversal. \(\angle QRU\) and \(\angle VUR\) are same - side interior angles.
By the same - side interior angles theorem, if two parallel lines are cut by a transversal, then the sum of same - side interior angles is \(180^{\circ}\). So \(\angle QRU+\angle VUR = 180^{\circ}\)

Answer:

\(\angle QRU\) and \(\angle VUR\)