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
0301_g4.gif Given
Points S, Q, R, and T all lie on the same line. Given
m∠ SQT = 180° Definition of a Straight Angle
m∠ SQV + m∠ VQT = m∠ SQT Angle Addition Postulate
m∠ SQV + m∠ VQT = 180° Substitution Property of Equality
I m∠ SQV + m∠ VQT - m∠ VQT = m∠ VQT + m∠ ZRS - m∠ VQT
m∠ SQV = m∠ ZRS Subtraction Property of Equality
II m∠ SQV + m∠ VQT = m∠