geometry | BRAINLIEST + 20 POINTS! :)
QUESTION:
Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. Who is correct?
[Picture shown below]
Kelly's Proof
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Statement:
1. ∠2 = ∠4
2. ∠1 = ∠3
3. Vertical Angles are congruent.
Justification:
1. Vertical angles are congruent.
2. Vertical angles are congruent.
3. Vertical Angle Theorem
Daniel's Proof
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Statement:
1. ∠1 + ∠2 = 180°
2. ∠1 + ∠4 = 180°
3. ∠1 + ∠2 = ∠1 + ∠4
4. ∠2 = ∠4
Justification:
1. Definition of Supplementary Angles
2. Definition of Supplementary Angles
3. Transitive Property of Equality
4. Subtraction Property of Equality
ANSWER CHOICES:
a) Both Kelly and Daniel are correct.
b) Neither Kelly or Daniel is correct.
c) Kelly is correct, but Daniel is not.
d) Daniel is correct, but Kelly is not. ✓ (my choice)
I picked D as the answer, but i'm not sure. Can someone please help me?
