2 obtuse and 2 acute in the classic kite shape.
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Assuming the kite has four sides and is not a square, then yes, it must have obtuse angles.
A kite, a parallelogram, many ordinary quadrilaterals with no specific names.
No.
With 2 acute and 2 obtuse angles it has 4 angles - the shape is a quadrilateral. The shape can be one of trapezium, parallelogram, rhombus, kite or a general quadrilateral. With the two acute angles next to each other (forcing the two obtuse angles to be next to each other) the shape can be either a trapezium or a general quadrilateral.
Yes.