seantran0405 seantran0405
  • 16-07-2022
  • Mathematics
contestada

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

Given FB CG BFE and C are supplementary Prove CA FE class=

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Medunno13
Medunno13 Medunno13
  • 16-07-2022

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)

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