Question

Fred and Victoria provide the following proofs for vertical angles to be equal.

Answer 1

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

Victoria’s proof: angle 1 + angle 4 = 180° (transversal t is a straight line)
angle 1 + angle 2 =180° (PQ is a straight line segment)
Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality)
Hence, angle 2 = angle 4 (Subtraction Property of Equality)

Answer 2

Which statement is correct?

Both Fred’s and Victoria’s proofs are correct.

Both Fred’s and Victoria’s proofs are incorrect.

Only Fred’s proof is correct.

Only Victoria’s proof is correct.

Answer 3

they are both right

Answer 4

Thank you!!

Answer 5

He is correct.