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Moscow Mathematical Olympiad
1997 Moscow Mathematical Olympiad
5
1997 MMO Grade 8 #5
1997 MMO Grade 8 #5
Source:
October 3, 2016
Grade 8
1997
Problem Statement
In the rhombus
A
B
C
D
,
ABCD,
A
BC
D
,
the measure of
∠
B
=
4
0
∘
,
E
\angle{B}=40^{\circ}, E
∠
B
=
4
0
∘
,
E
is the midpoint of
B
C
,
BC,
BC
,
and
F
F
F
is the base of the perpendicular dropped from
A
A
A
on
D
E
.
DE.
D
E
.
Find the measure of
∠
D
F
C
.
\angle{DFC}.
∠
D
FC
.
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