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All-Russian Olympiad Regional Round
2000 All-Russian Olympiad Regional Round
10.3
10.3
Part of
2000 All-Russian Olympiad Regional Round
Problems
(1)
AO/OK =? <A=60^0, ABCD # - All-Russian MO 2000 Regional (R4) 10.3
Source:
9/26/2024
Given a parallelogram
A
B
C
D
ABCD
A
BC
D
with angle
A
A
A
equal to
6
0
o
60^o
6
0
o
. Point
O
O
O
is the the center of a circle circumscribed around triangle
A
B
D
ABD
A
B
D
. Line
A
O
AO
A
O
intersects the bisector of the exterior angle
C
C
C
at point
K
K
K
. Find the ratio
A
O
/
O
K
AO/OK
A
O
/
O
K
.
ratio
geometry
parallelogram