In general, no.
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A Trapezium have 2 equal angles.
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It could be an isosceles triangle that is not right angles; an isosceles trapezium, a trapezium where one of the parallel sides is equal to one of the sloped sides; any irregular polygon with 5 or more sides where two are equal, and no right angles.
A rhombus has all four sides of equal length, a trapezium may have none. A rhombus has two pairs of parallel sides, a trapezium has one. A rhombus has two pairs of equal angles (opposite angles), a trapezium may have none.
A trapezium can have right angles as long as there is at least one pair of parallel lines.