Use the figure to answer the question that follows:

Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

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 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? (5 points)

Select one:

a. m∠SQV + m∠VQT = 180°

b. m∠VQT + m∠ZRS = 180°

c. m∠SQV + m∠VQT = m∠VQT + m∠ZRS

d. m∠SQV + m∠SQT = 180°