Question

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

Answer 1

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)