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No.

For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees.

A parallelogram can be inscribed in a circle if it is a rectangle.

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Q: Can a parallelogram always be inscribed in a circle?
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