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2021 MOAA
16
Team Round P16
Team Round P16
Source:
October 16, 2021
MOAA 2021
team
Problem Statement
Let
△
A
B
C
\triangle ABC
△
A
BC
have
∠
A
B
C
=
6
7
∘
\angle ABC=67^{\circ}
∠
A
BC
=
6
7
∘
. Point
X
X
X
is chosen such that
A
B
=
X
C
AB = XC
A
B
=
XC
,
∠
X
A
C
=
3
2
∘
\angle{XAC}=32^\circ
∠
X
A
C
=
3
2
∘
, and
∠
X
C
A
=
3
5
∘
\angle{XCA}=35^\circ
∠
XC
A
=
3
5
∘
. Compute
∠
B
A
C
\angle{BAC}
∠
B
A
C
in degrees.Proposed by Raina Yang
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