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Problems
Contests
International Contests
Tournament Of Towns
1995 Tournament Of Towns
(446) 2
(446) 2
Part of
1995 Tournament Of Towns
Problems
(1)
TOT 446 1995 Spring A J2 regular 10-gon
Source:
7/9/2024
From a regular
10
10
10
-gon
A
B
C
D
E
F
G
H
I
J
ABCDEFGHIJ
A
BC
D
EFG
H
I
J
of side length
1
1
1
a straight line cuts off a triangle
P
A
Q
PAQ
P
A
Q
such that
P
A
+
A
Q
=
1
PA +AQ = 1
P
A
+
A
Q
=
1
. Find the sum of angles under which the segment
P
Q
PQ
PQ
is seen from the points
B
B
B
,
C
C
C
,
D
D
D
,
E
E
E
,
F
F
F
,
G
G
G
,
H
H
H
,
I
I
I
and
J
J
J
. (V Proizvolov)
geometry