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Random Geometry Problems from Ukrainian Contests
Ukrainian From Tasks to Tasks - geometry
2012.4
2012.4
Part of
Ukrainian From Tasks to Tasks - geometry
Problems
(1)
angle chasing in isosceles trapezoid (2012 From Tasks to Tasks, p4 Ukr)
Source:
5/2/2021
Let
A
B
C
D
ABCD
A
BC
D
be an isosceles trapezoid (
A
D
∥
B
C
AD\parallel BC
A
D
∥
BC
),
∠
B
A
D
=
8
0
o
\angle BAD = 80^o
∠
B
A
D
=
8
0
o
,
∠
B
D
A
=
6
0
o
\angle BDA = 60^o
∠
B
D
A
=
6
0
o
. Point
P
P
P
lies on
C
D
CD
C
D
and
∠
P
A
D
=
5
0
o
\angle PAD = 50^o
∠
P
A
D
=
5
0
o
. Find
∠
P
B
C
\angle PBC
∠
PBC
geometry
trapezoid
angles