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Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2016 Junior Balkan Team Selection Tests - Moldova
3
3
Part of
2016 Junior Balkan Team Selection Tests - Moldova
Problems
(1)
Moldova Junior TST for JBMO 2016 - Problem 3
Source: Moldova Junior TST 2016
2/29/2016
Let
A
B
C
ABC
A
BC
be an isosceles triangle with
∡
C
=
∡
B
=
36
\measuredangle C=\measuredangle B=36
∡
C
=
∡
B
=
36
. The point
M
M
M
is in interior of
A
B
C
ABC
A
BC
such that
∡
M
B
C
=
2
4
∘
,
∡
B
C
M
=
3
0
∘
\measuredangle MBC=24^{\circ} , \measuredangle BCM=30^{\circ}
∡
MBC
=
2
4
∘
,
∡
BCM
=
3
0
∘
N
=
A
M
∩
B
C
.
N = AM \cap BC.
N
=
A
M
∩
BC
.
. Find
∡
M
C
B
\measuredangle MCB
∡
MCB
.
geometry