Mathematics, 05.11.2020 03:30, hidagiser

Joel and Melinda provide the following proofs for vertical angles to be equal: A line PQ is shown cut by a transversal t. 1, 2, 3, 4 are marked clockwise as the four angles formed by the transversal on the

Joel's proof: angle 2 + angle 3=180° (t is a straight line)
angle 1 + angle 2 = 180° (PQ is a straight line)
Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality)
Hence, angle 1 = angle 3 (Subtraction Property of Equality)

Melinda's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360°
Therefore, angle 1 + angle 4 = 180° (t is a straight line)
Hence, angle 4 = angle 2 (Transitive Property of Equality)

Which statement is correct? (6 points)

Only Joel's proof is correct.
Only Melinda's proof is correct.
Both Joel's and Melinda's proofs are correct.
Both Joel's and Melinda's proofs are incorrect.

Answers: 2

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Joel and Melinda provide the following proofs for vertical angles to be equal: A line PQ is shown c...