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Mathematics, 25.11.2020 05:40 zacharynugent

Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. Who is correct? Line segment NT intersects line segment MR forming four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical

Kelly's Proof

StatementJustification
∠2 = ∠4Vertical angles are congruent.
∠1 = ∠3Vertical angles are congruent.
Vertical Angles are congruent. Vertical Angle Theorem
Daniel's Proof

StatementJustification
∠1 + ∠2 = 180°Definition of Supplementary Angles
∠1 + ∠4 = 180°Definition of Supplementary Angles
∠1 + ∠2 = ∠1 + ∠4Transitive Property of Equality
∠2 = ∠4Subtraction Property of Equality

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