Question

qs and tv are parallel lines. which angles are alternate interior angles? ∠sru and ∠vur ∠sru and ∠tur ∠sru and ∠qru ∠sru and ∠vuw

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle SRU\) and \(\angle VUR\): \(\overrightarrow{QS}\parallel\overrightarrow{TV}\), and \(PW\) is the transversal. \(\angle SRU\) and \(\angle VUR\) lie between \(\overrightarrow{QS}\) and \(\overrightarrow{TV}\) and on opposite sides of transversal \(PW\).
• For \(\angle SRU\) and \(\angle TUR\): \(\angle TUR\) is not between the two parallel lines \(\overrightarrow{QS}\) and \(\overrightarrow{TV}\).
• For \(\angle SRU\) and \(\angle QRU\): These two angles are adjacent, not alternate interior angles.
• For \(\angle SRU\) and \(\angle VUW\): \(\angle VUW\) is not between the two parallel lines \(\overrightarrow{QS}\) and \(\overrightarrow{TV}\).

Answer:

\(\angle SRU\) and \(\angle VUR\)