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8
2019 Geometry # 8
2019 Geometry # 8
Source:
September 10, 2023
geometry
2019
Problem Statement
Let triangle
△
A
E
F
\vartriangle AEF
△
A
EF
be inscribed in a square
A
B
C
D
ABCD
A
BC
D
such that
E
E
E
lies on
B
C
BC
BC
and
F
F
F
lies on
C
D
CD
C
D
. If
∠
E
A
F
=
4
5
o
\angle EAF = 45^o
∠
E
A
F
=
4
5
o
and
∠
B
E
A
=
7
0
o
\angle BEA = 70^o
∠
BE
A
=
7
0
o
, compute
∠
C
F
E
\angle CF E
∠
CFE
.
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