Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct?. . Diana’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 Equality . . . Joby’s Proof. . Statement Justification . 2 = 4 Vertical angles are congruent. . 1 = 3 Vertical angles are congruent. . Vertical Angles are congruent. Vertical Angle Theorem .

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MsEHolt MsEHolt · Answer 1 · 2018-07-25T22:06:12+02:00

The correct answer is:

Diana is correct.

Explanation:

A diagram of the problem is attached. Since ∠1 and ∠2 form a straight line, they are supplementary angles; this means that ∠1 + ∠2 = 180°.

Using the same logic, ∠1 and ∠4 form a straight line, so ∠1 + ∠4 = 180°.

Using the transitive property (or substitution), ∠1 + ∠2 = ∠1 + ∠4.

The last step would be to subtract ∠1 from each side, leaving ∠2 = ∠4, which are vertical angles.

Joby's proof is incorrect because you cannot use a statement you are trying to prove in its own proof.

fv7u8iltg7lg7u fv7u8iltg7lg7u · Answer 2 · 2021-03-24T10:24:09+01:00

Answer:

I took the test, the answer is neither of them are right

Step-by-step explanation:

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