MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2023 Harvard-MIT Mathematics Tournament
6
hidden triple angle???(2023 HMMT G6)
hidden triple angle???(2023 HMMT G6)
Source:
February 21, 2023
Problem Statement
Convex quadrilateral
A
B
C
D
ABCD
A
BC
D
satisfies
∠
C
A
B
=
∠
A
D
B
=
3
0
∘
,
∠
A
B
D
=
7
7
∘
,
B
C
=
C
D
\angle{CAB} = \angle{ADB} = 30^{\circ}, \angle{ABD} = 77^{\circ}, BC = CD
∠
C
A
B
=
∠
A
D
B
=
3
0
∘
,
∠
A
B
D
=
7
7
∘
,
BC
=
C
D
and
∠
B
C
D
=
n
∘
\angle{BCD} =n^{\circ}
∠
BC
D
=
n
∘
for some positive integer
n
n
n
. Compute
n
n
n
.
Back to Problems
View on AoPS