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Poland - Second Round
1967 Poland - Second Round
3
3
Part of
1967 Poland - Second Round
Problems
(1)
angle bisector wanted
Source: Polish MO second round 1967 p3
8/28/2024
Two circles touch internally at point
A
A
A
. A chord
B
C
BC
BC
of the larger circle is drawn tangent to the smaller one at point
D
D
D
. Prove that
A
D
AD
A
D
is the bisector of angle
B
A
C
BAC
B
A
C
.
geometry
angle bisector