Question

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

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
a. Steph

Answer 1

a. Stephen is correct, but Amanda is not.
b. Amanda is correct, but Stephen is not.
c. Both Amanda and Stephen are correct.
d. Neither Amanda nor Stephen is correct.