Janet is designing a frame for a client. she wants to prove to her client that m∠age ≅ m∠che in her sketch. what is the missing justification in the proof?

segment ab is parallel to segment cd, and transversal ef intersects segment ab at g and segment cd at h.

statement justification
segment ab is parallel to segment cd with transversal segment ef given
m∠age ≅ m∠hgb vertical angles theorem
m∠hgb ≅ m∠che alternate interior angles theorem
m∠age ≅ m∠che
alternate exterior angles theorem
corresponding angles theorem
reflexive property
transitive property