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International Contests
Tournament Of Towns
1997 Tournament Of Towns
(534) 6
(534) 6
Part of
1997 Tournament Of Towns
Problems
(1)
angle chasing inside an isosceles triangle
Source: TOT 534 1997 Spring J A6 - - Tournament Of Towns
9/11/2024
Let
P
P
P
be a point inside the triangle
A
B
C
ABC
A
BC
such that
A
B
=
B
C
AB = BC
A
B
=
BC
,
∠
A
B
C
=
8
0
o
\angle ABC = 80^o
∠
A
BC
=
8
0
o
,
∠
P
A
C
=
4
0
o
\angle PAC = 40^o
∠
P
A
C
=
4
0
o
and
∠
A
C
P
=
3
0
o
\angle ACP = 30^o
∠
A
CP
=
3
0
o
. Find
∠
B
P
C
\angle BPC
∠
BPC
.(G Galperin)
geometry
angles
Isosceles Triangle
isosceles