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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-example-1

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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

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