one of the diagonals of a rhombus is of the same length as that of the side of the rhombus the angles of the rhombus measure
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All the sides of a rhombus are equal. So if one diagonal is equal to one side, we have 2 equilateral triangles with a common base. Hence all the angles of the 2 triangles are 60 degrees each. Thus one pair of opposite angles of the rhombus is 60 degrees and the other pair 120 degrees.
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