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National and Regional Contests
Bulgaria Contests
Bulgaria Team Selection Test
2003 Bulgaria Team Selection Test
5
5
Part of
2003 Bulgaria Team Selection Test
Problems
(1)
Prove a angular equality
Source: Bulgaria TST 2003 P5
9/8/2012
Let
A
B
C
D
ABCD
A
BC
D
be a circumscribed quadrilateral and let
P
P
P
be the orthogonal projection of its in center on
A
C
AC
A
C
. Prove that
∠
A
P
B
=
∠
A
P
D
\angle {APB}=\angle {APD}
∠
A
PB
=
∠
A
P
D
Asymptote
geometry
trigonometry
trig identities
Law of Sines
geometry proposed