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Tournament Of Towns
1997 Tournament Of Towns
(541) 2
(541) 2
Part of
1997 Tournament Of Towns
Problems
(1)
DE bisects <ADC, AD and BE angle bisectors
Source: TOT 541 1997 Spring S A2 Tournament Of Towns
9/11/2024
D
D
D
and
E
E
E
are points on the sides
B
C
BC
BC
and
A
C
AC
A
C
of a triangle
A
B
C
ABC
A
BC
such that
A
D
AD
A
D
and
B
E
BE
BE
are angle bisectors of the triangle
A
B
C
ABC
A
BC
. If
D
E
DE
D
E
bisects
∠
A
D
C
\angle ADC
∠
A
D
C
, find
∠
A
\angle A
∠
A
. (SI Tokarev)
geometry
angle bisector
angles