MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2001 Stanford Mathematics Tournament
15
15
Part of
2001 Stanford Mathematics Tournament
Problems
(1)
2001 Stanford Math Tournament Team #15
Source:
5/24/2014
Let
A
B
C
ABC
A
BC
be an isosceles triangle with
∠
A
B
C
=
∠
A
C
B
=
8
0
∘
\angle{ABC} = \angle{ACB} = 80^\circ
∠
A
BC
=
∠
A
CB
=
8
0
∘
. Let
D
D
D
be a point on
A
B
AB
A
B
such that
∠
D
C
B
=
6
0
∘
\angle{DCB} = 60^\circ
∠
D
CB
=
6
0
∘
and
E
E
E
be a point on
A
C
AC
A
C
such that
∠
A
B
E
=
3
0
∘
\angle{ABE} = 30^\circ
∠
A
BE
=
3
0
∘
. Find
∠
C
D
E
\angle{CDE}
∠
C
D
E
in degrees.
Stanford
college
trigonometry
geometry
trig identities
Law of Sines