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Mathematics, 21.07.2019 12:00 hectorgonzalejr333

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? m∠sqv + m∠vqt = 180° m∠vqt + m∠zrs = 180° m∠sqv + m∠vqt = m∠vqt + m∠zrs m∠sqv + m∠sqt = 180°

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