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

Statements

Reasons

11 UV||WZ

Given

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

Given

B m2 SQT = 180°

Definition of a Straight Angle

4 m2 SQV + m2VQT = m_SQT

Angle Addition Postulate

Þ mZSQV + m2VQT = 180°

Substitution Property of Equality

6 MZVQT + m ZZRS = 180°

Same-Side Interior Angles Theorem

7

Substitution Property of Equality

m2 SQV + m2VQT-m2VQT = m2VQT + m2 ZRS - m2VQT

Subtraction Property of Equality

MZSQV = m ZRS

SQV & ZZRS

Definition of Congruency

What is the missing statement for step 7? (5 points)

Оа

m2 SQV + m2VQT = 180°

Oь

mZVOT + m2 ZRS = 180°

Oc

m2 SQV + m ZVQT = m_VQT + m2ZRS

Od

m2 SQV + m2 SQT = 180°