Given: x ∥ y and w is a transversal prove: ∠3 ≅ ∠6 parallel lines x and y are cut by transversal w. on line x where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. on line y where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. what is the missing reason in the proof? statement reason 1. x ∥ y w is a transversal 1. given 2. ∠2 ≅ ∠3 2. def. of vert. ∠s 3. ∠2 ≅ ∠6 3. def. of corr. ∠s 4. ∠3 ≅ ∠6 4. transitive property symmetric property vertical angles are congruent definition of supplementary angles