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3
2015 Geometry #3
2015 Geometry #3
Source:
July 1, 2022
2015
Geometry Test
Problem Statement
Points
E
E
E
and
F
F
F
are chosen on sides
B
C
BC
BC
and
C
D
CD
C
D
respectively of rhombus
A
B
C
D
ABCD
A
BC
D
such that
A
B
=
A
E
=
A
F
=
E
F
AB=AE=AF=EF
A
B
=
A
E
=
A
F
=
EF
, and
F
C
,
D
F
,
B
E
,
E
C
>
0
FC,DF,BE,EC>0
FC
,
D
F
,
BE
,
EC
>
0
. Compute the measure of
∠
A
B
C
\angle ABC
∠
A
BC
.
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