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Kharkiv City MO Seniors - geometry
2017.10.4
2017.10.4
Part of
Kharkiv City MO Seniors - geometry
Problems
(1)
<DAB=90^o,<ADC = < BAM => < ADB = CAM (Kharkiv City X 2017- Ukr)
Source:
3/19/2020
In the quadrangle
A
B
C
D
ABCD
A
BC
D
, the angle at the vertex
A
A
A
is right. Point
M
M
M
is the midpoint of the side
B
C
BC
BC
. It turned out that
∠
A
D
C
=
∠
B
A
M
\angle ADC = \angle BAM
∠
A
D
C
=
∠
B
A
M
. Prove that
∠
A
D
B
=
∠
C
A
M
\angle ADB = \angle CAM
∠
A
D
B
=
∠
C
A
M
.
geometry
angles
midpoint
Kharkiv