An irregular 5 sided pentagon that looks like a hut would fit the given description.
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You cannot have a shape without any line segments.
The rhombus.
octagon
Right angles are formed by perpendicular lines. If the lines would extend, to make two intersecting lines, they would form four right angles. Perpendicular lines are written like this: . From its shape, you can already tell that it forms at least two right angles.
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.