MathDB

In triangle

ABC,

the points

D

and

E

are the intersections of the angular bisectors from

C

and

B

with the sides

AB

and

AC,

respectively. Points

F

and

G

on the extensions of

AB

and

AC

beyond

B

and

C,

respectively, satisfy

BF = CG = BC.

Prove that

F G \parallel DE.

Problem Statement