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1985 IMO Longlists
93
Prove that angle AKB=angle DMC
Prove that angle AKB=angle DMC
Source:
September 14, 2010
geometry
3D geometry
sphere
tetrahedron
geometry unsolved
Problem Statement
The sphere inscribed in tetrahedron
A
B
C
D
ABCD
A
BC
D
touches the sides
A
B
D
ABD
A
B
D
and
D
B
C
DBC
D
BC
at points
K
K
K
and
M
M
M
, respectively. Prove that
∠
A
K
B
=
∠
D
M
C
\angle AKB = \angle DMC
∠
A
K
B
=
∠
D
MC
.
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