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2006 JHMT
7
7
Part of
2006 JHMT
Problems
(1)
2006 JHMT Geometry #7
Source:
9/1/2023
A
D
AD
A
D
is the angle bisector of the right triangle
A
B
C
ABC
A
BC
with
∠
A
B
C
=
6
0
o
\angle ABC = 60^o
∠
A
BC
=
6
0
o
and
∠
B
C
A
=
9
0
o
\angle BCA = 90^o
∠
BC
A
=
9
0
o
.
E
E
E
is chosen on
A
B
‾
\overline{AB}
A
B
so that the line parallel to
D
E
‾
\overline{DE}
D
E
through
C
C
C
bisects
A
E
‾
\overline{AE}
A
E
. Find
∠
E
D
B
\angle EDB
∠
E
D
B
in degrees.
geometry