The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Step Statements Reasons
1 segment UV is parallel to segment WZ Given
2 Points S, Q, R, and T all lie on the same line. Given
3 m∠SQT = 180° Definition of a Straight Angle
4 Angle Addition Postulate
5 m∠SQV + m∠VQT = 180° Substitution Property of Equality
6 m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
7 m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
8 m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS

Question

The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:


Step	Statements	Reasons
1	segment UV is parallel to segment WZ	Given
2	Points S, Q, R, and T all lie on the same line.	Given
3	m∠SQT = 180°	Definition of a Straight Angle
4		Angle Addition Postulate
5	m∠SQV + m∠VQT = 180°	Substitution Property of Equality
6	m∠VQT + m∠ZRS = 180°	Same-Side Interior Angles Theorem
7	m∠SQV + m∠VQT = m∠VQT + m∠ZRS	Substitution Property of Equality
8	m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS