Question

Please help!! Will fan and medal!! question in comments

Answer 1

Use the figure to answer the question that follows:

Answer 2

hint: https://www.mathsisfun.com/geometry/corresponding-angles.html

Answer 3

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?
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°