Question

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

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze the relationship between \(\angle QRU\) and \(\angle VUR\)

Since \(\overleftrightarrow{QS}\) and \(\overleftrightarrow{TV}\) are parallel lines and \(WP\) is a transversal. \(\angle QRU\) and \(\angle VUR\) are same - side interior angles. For parallel lines cut by a transversal, same - side interior angles are supplementary.

Answer:

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