Question

Given triangle ABC is equiangular and segment EF is parallel to segment AC, prove triangle EFB is equiganular

Answer 1

Because the segments are parallel, the sides AB and AC are transversals; and certain angles are congruent when parallel lines are cut by a transversal.

Answer 2

so because EF is parallel with AC so hence angle F is congruent angle C and angle E congruent angle A so angle B si angle common

so than result triangle ABC is similar with triangle EFB

Answer 3

Yes.