A Cute Parallelogram

Geometry Level 4

\(ABCD\) is a parallelogram with side lengths \(AB=15, BC=10\) and \( \angle ADC = 75^\circ\). A point \(P\) in the interior of the parallelogram is chosen such that \( \angle APD + \angle CPB = 180^\circ\). What is the measure (in degrees) of \( \angle PAD + \angle PCB\)?

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