not always, since sometimes kites may have a pair of opposite angles that are not supplementary. Special types of kites can be inscribed.
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That is the definition of the incenter; it is the center of the inscribed circle.
Yes. The corners must be right angles for it to be inscribed on the circle.
opposite angles are supplementary
An inscribed angle is an angle with its vertex on a circle and with sides that contain chords of the circle.
A circle with a polygon in it An inscribed polygon is any polygon that can fit within a specific curve or circle.