Answer:
(1) -> ∠11=∠13
(2) -> vertical angles are congruent
(3) -> ∠11=∠15
(4) -> h ║ k
(5) -> given
(6) -> f ║ g
Explanation:
Statement (1) would be the givens listed above, ∠11=∠13
Statement (2) follows the vertical angles theorem
(3) is using the transitive property, as stated in the reasoning
(5) is given
(4) and (6) would prove that the lines are parallel, because the inverse postulate takes congruent angles and a transversal to prove two lines are congruent.