# 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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