Question

Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct?

Answer 1

Amanda's Proof




Statement

Justification

∠1 + ∠4 = 180° Definition of Supplementary Angles
∠3 + ∠4 = 180° Definition of Supplementary Angles
∠1 + ∠4 = ∠3 + ∠4 Transitive Property of Equality
∠1 ≅ ∠3 Subtraction Property of Equality

Stephen's Proof



Statement

Justification

∠1 + ∠2 = 180° Definition of Supplementary Angles
∠2 + ∠3 = 180° Definition of Supplementary Angles
∠1 + ∠2 = ∠2 + ∠3 Transitive Property of Equality
∠1 ≅ ∠3 Subtraction Property of Equality

Stephen is correct, but Amanda is not.
Amanda is correct, but Stephen is not.
Both Amanda and Stephen are correct.
Neither Amanda nor Stephen is correct.

@texaschic101 @jayzdd

Answer 2

is there an image to go with this

Answer 3

yup give me one sec!

Answer 4

both proofs look correct

Answer 5

thank you @jayzdd