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International Contests
Baltic Way
1999 Baltic Way
13
13
Part of
1999 Baltic Way
Problems
(1)
Determine the angle C if AE+BD=AB
Source:
12/23/2010
The bisectors of the angles
A
A
A
and
B
B
B
of the triangle
A
B
C
ABC
A
BC
meet the sides
B
C
BC
BC
and
C
A
CA
C
A
at the points
D
D
D
and
E
E
E
, respectively. Assuming that
A
E
+
B
D
=
A
B
AE+BD=AB
A
E
+
B
D
=
A
B
, determine the angle
C
C
C
.
trigonometry
geometry
incenter
geometry proposed