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

Answer:
Step-by-step explanation:
1) [tex]FB \parallel CG[/tex], [tex]\angle BFE[/tex] and [tex]\angle C[/tex] are supplementary (given)
2) [tex]\angle ABF \cong \angle C[/tex] (corresponding angles theorem)
3) [tex]\angle BFE[/tex] and [tex]\angle ABF[/tex] are supplementary (supplements of congruent angles are congruent)
4) [tex]CA \parallel FE[/tex] (converse of the same-side interior angles theorem)