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Bundeswettbewerb Mathematik
2013 Bundeswettbewerb Mathematik
3
BWM 2013 P3: P is a point in ABCD. Find angle PBA
BWM 2013 P3: P is a point in ABCD. Find angle PBA
Source:
June 4, 2014
Problem Statement
In the interior of the square
A
B
C
D
ABCD
A
BC
D
, the point
P
P
P
lies in such a way that
∠
D
C
P
=
∠
C
A
P
=
2
5
∘
\angle DCP = \angle CAP=25^{\circ}
∠
D
CP
=
∠
C
A
P
=
2
5
∘
. Find all possible values of
∠
P
B
A
\angle PBA
∠
PB
A
.
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