A kite probably has no right angles.
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It could be a kite, an arrowhead or an irregular quadrilateral with a right angle - which has no specific name.
The only diagonal line in a right-angle triangle is the hypotenuse. So the answer is 1.
There are lots of polygons like that. If by 1 right angle, you mean exactly 1 right angle, there are no such quadrilaterals, but there are pentagons (in fact n-gons for all n>=5.)
That depends on what type of shape it is as for example a triangle can only have 1 right angle of 90 degrees.
sin of angle a = opposite/hypotenuse = 1/3 sin-1(1/3) = 19.47122063 degrees