Question

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


Kelly's Proof


Statement Justification
∠2 = ∠4 Vertical angles are congruent.
∠1 = ∠3 Vertical angles are congruent.
Vertical Angles are congruent. Vertical Angle Theorem

Daniel's Proof

Statement Justification
∠1 + ∠2 = 180° Definition of Supplementary Angles
∠1 + ∠4 = 180° Definition of Supplementary Angles
∠1 + ∠2 = ∠1 + ∠4 Transitive Property of E

Answer 1

Both Kelly and Daniel are correct.
Neither Kelly or Daniel is correct.
Kelly is correct, but Daniel is not.
Daniel is correct, but Kelly is not.

Answer 2

Hint:
We cannot prove a theorem using the theorem itself.
The theorem is not a justification until it is proved by other means.

Answer 3

daniel is correct kellys not?