Question

Use the figure to answer the question that follows:




When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent.








Statements

Reasons







Given





Points S, Q, R, and T all lie on the same line.

Given



I

m∠ SQV + m∠ VQT = 180°

Substitution Property of Equality



II

m∠ SQT = 180°

Definition of a Straight Angle



III

m∠ SQV + m∠ VQT = m∠ SQT

Angle Addition Postulate





m∠ VQT + m∠ ZRS = 180°

Same-Side Interior