In triangle ABC, with angles β = /_ ABC and γ = /_ BCA ,
three angular bisectors are drawn:
BD is the bisector of angle β = /_ ABC,
DE is the bisector of angle /_ BDA, and
EF is the bisector of angle /_ DEB.
Find the relation between angles β and γ, if bisector EF is parallel to side AC.
Relation between angles ABC and BCA is given here.