Mathematics

Josh Barrera

14 June, 18:41

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

Fred's proof: angle 2 + angle 3 = 180Á (t is a straight line)

angle 1 + angle 2 = 180Á (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 = 180Á (t is a straight line)

angle 1 + angle 2 = 180Á (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