Question

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

Step	Statements	Reasons
1		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	m∠SQV + m∠VQT = m∠SQT	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		Substitution Property of Equality
8	m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS	Subtraction Property of Equality
	∠SQV ≅ ∠ZRS	Definition of Congruency

What is the missing statement for step 7?

m∠SQV + m∠VQT = 180° m∠VQT + m∠ZRS = 180° ∠SQV + m∠VQT = m∠VQT + m∠ZRS m∠SQV + m∠SQT = 180°

Answer 1