Yes.
For example, the angles (starting at the pointy end) could be 50, 100, 110 and 100 degrees.
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A quadrilateral kite can have two obtuse angles and two acute angles that add up to 360 degrees.
No.
A kite can have 1, 2 or 3 acute angles.
name two obtuse vertical angles.
yes an obtuse triangle has two acute angles