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Poland Contests
Poland - Second Round
2000 Poland - Second Round
4
4
Part of
2000 Poland - Second Round
Problems
(1)
Determine all angle measures in triangle
Source: 51 Polish MO 2000 Second Round - Problem 4
4/23/2018
Point
I
I
I
is incenter of triangle
A
B
C
ABC
A
BC
in which
A
B
≠
A
C
AB \neq AC
A
B
=
A
C
. Lines
B
I
BI
B
I
and
C
I
CI
C
I
intersect sides
A
C
AC
A
C
and
A
B
AB
A
B
in points
D
D
D
and
E
E
E
, respectively. Determine all measures of angle
B
A
C
BAC
B
A
C
, for which may be
D
I
=
E
I
DI = EI
D
I
=
E
I
.
geometry
incircle
incenter
Poland