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Math Prize For Girls Problems
2016 Math Prize for Girls Problems
8
8
Part of
2016 Math Prize for Girls Problems
Problems
(1)
Math Prize 2016 Problem 8
Source:
9/12/2016
A strip is the region between two parallel lines. Let
A
A
A
and
B
B
B
be two strips in a plane. The intersection of strips
A
A
A
and
B
B
B
is a parallelogram
P
P
P
. Let
A
′
A'
A
′
be a rotation of
A
A
A
in the plane by
6
0
∘
60^\circ
6
0
∘
. The intersection of strips
A
′
A'
A
′
and
B
B
B
is a parallelogram with the same area as
P
P
P
. Let
x
∘
x^\circ
x
∘
be the measure (in degrees) of one interior angle of
P
P
P
. What is the greatest possible value of the number
x
x
x
?
Math Prize for Girls