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2016 LMT
14
2016 LMT Individual #14
2016 LMT Individual #14
Source:
April 10, 2016
Problem Statement
Let
P
P
P
and
Q
Q
Q
be points on
A
C
AC
A
C
and
A
B
AB
A
B
, respectively, of triangle
△
A
B
C
\triangle ABC
△
A
BC
such that
P
B
=
P
C
PB=PC
PB
=
PC
and
P
Q
⊥
A
B
PQ\perp AB
PQ
⊥
A
B
. Suppose
A
Q
Q
B
=
A
P
P
B
.
\frac{AQ}{QB}=\frac{AP}{PB}.
QB
A
Q
=
PB
A
P
.
Find
∠
C
B
A
\angle CBA
∠
CB
A
, in degrees.Proposed by Nathan Ramesh
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