Sure. The angles between edges in a salt crystal are right angles. And that's extremely precise. If you're willing to be a bit more wishy washy, you could say that trees stand at right angles to the ground. Humans walk at right angles to the ground as well.
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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..
Yes a square always has 4 right angles but a rhombus never has any right angles.
A polygon with six or more sides, in which four of the angles are right angles and the other angles are not. These others are of any type - as required. It cannot be a pentagon because, if 4 angles are right angles, the fifth would be 180 degrees!