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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1991.7.5
<BCM+<DAM=? <BMC + <AMD = 180^o, rectangle 1991 Kyiv City MO 7.5
<BCM+<DAM=? <BMC + <AMD = 180^o, rectangle 1991 Kyiv City MO 7.5
Source:
July 18, 2021
geometry
rectangle
angles
Problem Statement
Inside the rectangle
A
B
C
D
ABCD
A
BC
D
is taken a point
M
M
M
such that
∠
B
M
C
+
∠
A
M
D
=
18
0
o
\angle BMC + \angle AMD = 180^o
∠
BMC
+
∠
A
M
D
=
18
0
o
. Determine the sum of the angles
B
C
M
BCM
BCM
and
D
A
M
DAM
D
A
M
.
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