Hexagon.
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A six sided figure is called a hexagon, as "hex" means "six."
an angle is composed of two rays that have the same endpoint.
If the sides are all equal, and opposite sides are parallel, then the angles are all equal (72º) and it is a 'regular hexagon'. A six sided plane figure is called a hexagon, as "hex" means "six."
That would be an "angle".
A Hexagon