Different between the angles in a parallelogram

Geometry Level 2

Let the two sides and the diagonal of a parallelogram be denoted by \(a-2,a-4\) and \(a\), respectively, where \(a\) is a positive integer.

If the smallest absolute difference of angles between 2 non-opposite interior angles of this parallelogram can be expressed as \( b \sqrt[3]{15} \) degrees, where \(b\) is an integer, what is \(b\)?

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