THIS IS WORTH 15 POINTS BECAUSE OF IMPROPER ANWSERS FOR POINTS BUT WILL GIVE BRAINLIEST IF CORRECT

Henry and Amy 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


Henry'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)


Amy'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)


A. Both Henry's and Amy's proofs are incorrect.

B. Only Amy's proof is correct.

C. Only Henry's proof is correct.

D. Both Henry's and Amy's proofs are correct.

THIS IS WORTH 15 POINTS BECAUSE OF IMPROPER ANWSERS FOR POINTS BUT WILL GIVE BRAINLIEST IF CORRECTHenry and Amy provide the following proofs for vertical angles class=

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Answer:

  C. Only Henry's proof is correct.

Step-by-step explanation:

Amy's "proof" leaves out the steps that Henry's proof puts in. Only Henry's proof is correct.

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Amy's proof has no reasoning to support her "therefore ..." and no reasoning to support her conclusion that angles 4 and 2 are equal. Nothing in her proof supports her conclusion that the transitive property of equality can be applied.