Question

Earl and Sean provide the following proofs for vertical angles to be equal. Earl's proof: angle 1 + angle 2 = 180° (PQ is a straight line) angle 3 + angle 4 = 180°(PQ is a straight line) Therefore, angle 1 + angle 2 = angle 3 + angle 4 (Transitive Property of Equality) Hence, vertical angles are equal. Sean's proof: angle 1 + angle 4 = 180° (transversal t is a straight line) angle 2 + angle 3 = 180°(transversal t is a straight line) Therefore, angle 1 + angle 4 = angle 2 + angle 3 (Transitive Property of Equality) Hence, vertical angles are equal. Which statement is correct?

Answer 1

Sean's statement is correct as <1+<2=180° and <2 +<3 = 180° thus <1=<3 and hence vertically opposite angles are equal