yes
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Quadrilateral. No other special name. A kite could have 1 right angle - that's possible, but there is no special name for a quadrilateral with only 1 right angle.
An irregular quadrilateral.
A rectangle or a square.
It could be a kite, a trapezium, a chevron or just an irregular quadrilateral with one right angle and no specific name.
Yes I had a question on my maths test asking me to draw a quadrilateral with one right angle, so yeah, a quadrilateral can have exactly one right angle lol But i havent got a clue how to draw one :S