Answer:
Step-by-step explanation:
1). ∠PRS and ∠VUW are supplementary [Given]
2). ∠PRS + ∠VUW = 180° [Definition of supplementary angles]
3). ∠PRS + ∠SRU = 180° [Angles forming a linear pair sum to 180°]
4). ∠PRS + ∠VUW = ∠PRS + ∠SRU [Substitution]
5). ∠VUW = ∠SRU [Algebra]
6). Line TU║ line QS [Converse of corresponding angle postulate]
