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Given: FB ║ CG ∠BFE and ∠C are supplementary. Prove CA ║ FE

Given: FB ║ CG ∠BFE and ∠C are supplementary. Prove CA ║ FE-example-1
User Mylesagray
by
8.7k points

1 Answer

6 votes

Answer:

Explanation:

1)
FB \parallel CG,
\angle BFE and
\angle C are supplementary (given)

2)
\angle ABF \cong \angle C (corresponding angles theorem)

3)
\angle BFE and
\angle ABF are supplementary (supplements of congruent angles are congruent)

4)
CA \parallel FE (converse of the same-side interior angles theorem)

User Carl Sednaoui
by
7.8k points

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