You cannot have a shape without any line segments.
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No, not with two right angles. All the angles in a triangle add up to 180, you have that in two angles.
It could be a right angle trapezoid whereas the other two angles are acute and obtuse
A right angle.
You are describing a hexagon, a closed shape with six sides. A hexagon has six angles, but since two of them are less than a right angle (90 degrees), the other four angles must be greater than a right angle. This means that a hexagon does not have any right angles.
They are polygons which have 3 or more line segments