MathDB

A strip is the region between two parallel lines. Let

A

and

B

be two strips in a plane. The intersection of strips

A

and

B

is a parallelogram

P

. Let

A'

be a rotation of

A

in the plane by

60^\circ

. The intersection of strips

A'

and

B

is a parallelogram with the same area as

P

. Let

x^\circ

be the measure (in degrees) of one interior angle of

P

. What is the greatest possible value of the number

x

Problem Statement