Answer:
1. angle PRS and angle VUW are supplementary - Given
2.m(angle PRS) + m(angle VUW) = 180. - Definition of supplementary angles
3. m(angle PRS) + m(angle SRU) = 180. - Angles forming a linear pair sum to 180 degrees.
4. m(angle PRS) + m(angle VUW) = m(angle PRS)
+ m (angle SRU) - Algebra
5. m(angle VUW) = m( angle SRU) - Transitive property of equality
6. Line TV || Line QS. - Converse of Corresponding Angles Postulate
