how do i prove ef parallel to cg with the angles pictured below

How Do I Prove Ef Parallel To Cg With The Angles Pictured Below class=

Answer :

Statement Reason

1. CA || ED Given

∠1 ≅ ∠2 Given

2. ∠2 ≅ ∠3 Corresponding angles

3. ∠1 ≅ ∠3 Transitive property

4. EF || CG Converse of corresponding angles theorem