MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Polish Junior Math Olympiad
2022 Polish Junior Math Olympiad
2022 Polish Junior Math Olympiad First Round
2.
2.
Part of
2022 Polish Junior Math Olympiad First Round
Problems
(1)
2022 Polish Junior Math Olympiad First Round P2
Source:
5/21/2023
In the rectangle
A
B
C
D
ABCD
A
BC
D
, the ratio of the lengths of sides
B
C
BC
BC
and
A
B
AB
A
B
is equal to
2
\sqrt{2}
2
ā
. Point
X
X
X
is marked inside this rectangle so that
A
B
=
B
X
=
X
D
AB=BX=XD
A
B
=
BX
=
X
D
. Determine the measure of angle
B
X
D
BXD
BX
D
.
geometry