Fred and Victoria provide the following proofs for vertical angles to be equal: Fred’s proof :

Fred and Victoria provide the following proofs for vertical angles to be equal: Fred’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)Victoria’s proof: angle 1 + angle 4 = 180° (t is a straight line)angle 1 + angle 2 =180° (PQ is a straight line)Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality)Hence, angle 2 = angle 4 (Subtraction Property of Equality)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.

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