# 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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