MathDB
Problems
Contests
National and Regional Contests
Cuba Contests
Cuba MO
2012 Cuba MO
9
9
Part of
2012 Cuba MO
Problems
(1)
<BAO = 30^o, <CBO = 20^o and <ABO =<ACO = 40^o
Source: 2012 Cuba MO 2.9
9/18/2024
Let
O
O
O
be a point interior to triangle
A
B
C
ABC
A
BC
such that
∠
B
A
O
=
3
0
o
\angle BAO = 30^o
∠
B
A
O
=
3
0
o
,
∠
C
B
O
=
2
0
o
\angle CBO = 20^o
∠
CBO
=
2
0
o
and
∠
A
B
O
=
∠
A
C
O
=
4
0
o
\angle ABO = \angle ACO = 40^o
∠
A
BO
=
∠
A
CO
=
4
0
o
. Knowing that triangle
A
B
C
ABC
A
BC
is not equilateral, find the measures of its interior angles.
geometry
angles