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Polish Junior Math Olympiad
2023 Polish Junior Math Olympiad
2023 Polish Junior MO Second Round
1.
1.
Part of
2023 Polish Junior MO Second Round
Problems
(1)
Angles and sides equal.
Source: Polish Junior Math Olympiad 2023 Second Stage
5/14/2023
On the sides
A
B
AB
A
B
and
B
C
BC
BC
of triangle
A
B
C
ABC
A
BC
, there are points
D
D
D
and
E
E
E
, respectively, such that \angle ADC=\angle BDE \text{and} \angle BCD=\angle AED. Prove that
A
E
=
B
E
AE=BE
A
E
=
BE
.
geometry