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3.
3.
Part of
2022 Polish Junior Math Olympiad Finals
Problems
(1)
2022 Polish Junior Math Olympiad Finals P3
Source: 2022 Polish Junior Math Olympiad Finals P3
5/21/2023
Given a parallelogram
A
B
C
D
ABCD
A
BC
D
in which
∠
A
B
D
=
9
0
∘
\angle ABD=90^\circ
∠
A
B
D
=
9
0
∘
and
∠
C
B
D
=
4
5
∘
\angle CBD=45^\circ
∠
CB
D
=
4
5
∘
. Point
E
E
E
lies on segment
A
D
AD
A
D
such that
B
C
=
C
E
BC=CE
BC
=
CE
. Determine the measure of angle
B
C
E
BCE
BCE
.
geometry