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Tournament Of Towns
1995 Tournament Of Towns
(443) 3
(443) 3
Part of
1995 Tournament Of Towns
Problems
(1)
angles of convex octagon wanted, squares inscribed and circumscribed in circle
Source: TOT 443 1995 Spring O J3 - Tournament of Towns
6/12/2024
Suppose
L
L
L
is the circle inscribed in the square
T
1
T_1
T
1
, and
T
2
T_2
T
2
is the square inscribed in
L
L
L
, so that vertices of
T
1
T_1
T
1
lie on the straight lines containing the sides of
T
2
T_2
T
2
. Find the angles of the convex octagon whose vertices are at the tangency points of
L
L
L
with the sides of
T
1
T_1
T
1
and at the vertices of
T
2
T_2
T
2
.(S Markelov)
geometry
Squares
angles