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MathLinks Contest 4th
5.2
0452 geometry 4th edition Round 5 p2
0452 geometry 4th edition Round 5 p2
Source:
May 7, 2021
geometry
4th edition
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a convex quadrilateral, and let
K
K
K
be a point on side
A
B
AB
A
B
such that
∠
K
D
A
=
∠
B
C
D
\angle KDA = \angle BCD
∠
KD
A
=
∠
BC
D
. Let
L
L
L
be a point on the diagonal
A
C
AC
A
C
such that
K
L
∥
B
C
KL \parallel BC
K
L
∥
BC
. Prove that
∠
K
D
B
=
∠
L
D
C
\angle KDB = \angle LDC
∠
KD
B
=
∠
L
D
C
.
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