No. They cannot equal 180 degrees unless the kite is square.
The kite shape (aka deltoid) is a special case: a bisymmetrical trapezoid with one pair of angles (the sides) equal, and the others not equal (top, bottom). There are two pairs of adjacent equilateral sides.
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Yes. The opposite angles of a kite can be supplementary if the kite is, more specifically, a square. (90° + 90° = 180°)
The top and bottom of a kite will never be equal (unless it is a square)but the left and right angles of the kite will be.
Are opposite angles. There is nothing in the question that would require them to be equal or supplementary or anything.
Allied (or co-interior) angles are supplementary. Vertically opposite angles are always equal.
Yes.