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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)