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