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It is an equal sign with a line traveling diagonally from upper right to bottom left, like this: ≠ Alternatively on a computer <> means not equal to
Never. All equilateral triangles have equal angles, which means every angle must be 60 degrees and therefore not right.
It means equal to or (whatever the wedge means.) ≤ means "Equal to or less than." ≥ means "equal to or greater than."
Quadrilateral means four sides. Four right angles and four sides is a rectangle and if the sides are equal length it is a square.
A right triangle can have 2 equal angles if they are each 45° (any other right triangle will have no equal angles)