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1
SMT 2020 Geometry Tiebreaker #1
SMT 2020 Geometry Tiebreaker #1
Source:
August 9, 2023
geometry
Problem Statement
Pentagon
A
B
C
D
E
ABCDE
A
BC
D
E
has
A
B
=
B
C
=
C
D
=
D
E
AB = BC = CD = DE
A
B
=
BC
=
C
D
=
D
E
,
∠
A
B
C
=
∠
B
C
D
=
10
8
o
\angle ABC = \angle BCD = 108^o
∠
A
BC
=
∠
BC
D
=
10
8
o
, and
∠
C
D
E
=
16
8
o
\angle CDE = 168^o
∠
C
D
E
=
16
8
o
. Find the measure of angle
∠
B
E
A
\angle BEA
∠
BE
A
in degrees.
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