2007-01-27 02:45:05 · 12 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Two. And two acute. And they all (four) add up to 360.
2007-01-27 02:48:37 · answer #1 · answered by future_man_uk 2 · 1⤊ 1⤋
Let's assume you mean by "trapezium" a figure with two parallel sides. In that case it can have 0, 1 or 2 obtuse angles.
Remember, a rectangle is a special case of a trapezium and it has no obtuse angles. You could also have a trapezium with one side at right angles to the two parallel sides, in which case it has just one obtuse angle.
If you insist on excluding rectangles from the class of trapezia, then a trapezium can have 1 or 2 obtuse angles.
2007-01-27 20:35:14 · answer #2 · answered by Martin 5 · 0⤊ 0⤋
2
2007-01-28 05:49:30 · answer #3 · answered by citygirl21jb 2 · 0⤊ 0⤋
An American definition trapezium can be constructed with 3 obtuse angles and 1 acute angle, 2 obtuse and 2 acute, or 1 obtuse angle and 3 acute angles. The latter has an indented shape.
2007-01-27 03:10:58 · answer #4 · answered by Helmut 7 · 0⤊ 1⤋
By the British definition a trapezium is a trapeziod which requires 2 parallel sides and that gives you 2 accute andgle and twor obtuse angles
But in the american definition no sides have to be parallel and that allows you to build one with only one acute angle and three obtuse angles (just think of a very stretched triangle witha slight dent outwards in its smallest side)
But they still add up to 360 degrees
2007-01-27 02:57:22 · answer #5 · answered by startrektosnewenterpriselovethem 6 · 0⤊ 0⤋
It depends.You can have a trapezium with 2 right angles, one obtuse and one acute ..or 2 acute angles and 2 obtuse angles.
Draw them and see.
2007-01-27 04:03:24 · answer #6 · answered by Anonymous · 1⤊ 0⤋
A trapezoid (in North America) or trapezium (in Britain and elsewhere) is a quadrilateral two of whose sides are parallel to each other. Some authors define it as a quadrilateral having exactly one pair of parallel sides, so as to exclude parallelograms.
The exactly opposite concept, a quadrilateral that has no parallel sides, is referred to as a trapezium in North America, and as a trapezoid in Britain and elsewhere. To avoid confusion, this article uses the North American wording. It also admits parallelograms as special cases of trapezoids (however, in this case, it is assumed that one pair of parallel sides is distinguished, and is the one referred to as "the pair of parallel sides").
In an isosceles trapezoid, the base angles are congruent, and so are the pair of non-parallel opposite sides.
If the other pair of opposite sides is also parallel, then the trapezoid is also a parallelogram. Otherwise, the other two opposite sides may be extended until they meet at a point, forming a triangle that the trapezoid lies inside.
A quadrilateral is a trapezoid if and only if it contains two adjacent angles that are supplementary, that is, they add up to one straight angle of 180 degrees (π radians). Another necessary and sufficient condition is that the diagonals cut each other in mutually the same ratio; this ratio is the same as that between the lengths of the parallel sides.
hence we can 2 obtuse angles in trapezium.
2007-01-27 03:02:14 · answer #7 · answered by rajeev_iit2 3 · 0⤊ 0⤋
Two
2007-01-27 05:32:25 · answer #8 · answered by lenpol7 7 · 0⤊ 0⤋
2
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/____\
the two at the top are more than 90 but less than 180degrees so are obtuse
2007-01-27 02:48:19 · answer #9 · answered by Anonymous · 1⤊ 1⤋
it can vary being 1 or 2 in different cases.
2007-01-27 03:17:59 · answer #10 · answered by juno 2 · 0⤊ 0⤋