In a real star, no.
In a 2-dimensional star-shape, no.
In 3-dimensional star-shapes, yes, there can be.
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5
Any regular polygon with 5n sides, or any 5n pointed star (where n is an integer)
a circle
Yes. Rectangles have four right angles.
A shape with 4 right angles would be a square or rectangle. A trapezoid does not have any right angles..