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National and Regional Contests
Moldova Contests
EGMO TST - Moldova
2023 Moldova EGMO TST
3
3
Part of
2023 Moldova EGMO TST
Problems
(1)
Find $\angle DBC$
Source: Moldova EGMO TST 2023
2/4/2023
Let there be a quadrilateral
A
B
C
D
ABCD
A
BC
D
such that
∠
C
A
D
=
45
,
∠
A
C
D
=
30
,
∠
B
A
C
=
∠
B
C
A
=
15
\angle CAD=45, \angle ACD=30, \angle BAC=\angle BCA=15
∠
C
A
D
=
45
,
∠
A
C
D
=
30
,
∠
B
A
C
=
∠
BC
A
=
15
. Find
∠
D
B
C
\angle DBC
∠
D
BC
.
geometry