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Obtuse
It would be impossible. A trapezoid can't have three right angles. It would just make a rectangle.
Draw a square
Draw a parallelagram this has the opposite sides parallel and no right angles
Yes, as long as they all add up to 180 degrees. A triangle cannot have 2 right angles. A triangle with three different angles is called a scalene triangle.
no
It is impossible to have a triangle with 3 right angles. It is possible to draw a triangle with three right angles on the surface of a sphere: www.metacafe.com/watch/769025/270_degree_triangle_yes_3_right_angles
Yes.
The sum of all four angles is 360 degrees. If three of the angles were right angles then the fourth would have to be a right angle. You would then have a rectangle or a square, but not a trapezium.
Obtuse
No, because then it would be a rectangle.
The sum of the interior angles of a quadrilateral is 360 degrees. If three of the angles are right angles, that is, of 90 degrees each, the the fourth must be 90 degrees. So you can have a quadrilateral with three right angles but its fourth angle will also be a right angle. So exactly 3 right angles is not possible.
No, it is impossible to draw an equiangular right triangle. An equiangular triangle has three 60o angles. A right triangle has one 90o angle, and two 45o angles.
It would be impossible. A trapezoid can't have three right angles. It would just make a rectangle.
I will rephrase your question as "What shape has only three right angles?" A shape is a 2D drawing that encloses some space. The sum of the angles must exceed 270 degrees. A rectangle is out of the question as it has four right angles. But a 5 sided shape with unequal sides (irregular pentagon) or higher number of sides is fine. I wish Wikipedia would let draw on these answers, because I could draw hundreds of shapes with three right angles. When we talk of shapes, the most regular shapes come to mind, triangles, squares, pentagons, etc. But you did not spcify that my shape had to have straight sides. Imagine, for example, a circle which I will break at three places and insert right angles. Weird, but it does have three right angles. Do the right angles have to face in towards the center? I could even draw a more bizarre shape with with three right angles facing out, connected by curved lines.
If you select one vertex of a heptagon and draw diagonals to all other vertices, you will divide the heptagon into 5 triangles such that the interior angles of the heptagon add up to the same sum as the interior angles of the five triangles.Now the sum of the interior angles of one triangle is 180 degrees. So for 5 triangles you get 5*180 = 900 degrees.In general, the interior angles of a polygon with n vertices is (n - 2)*180 degrees.
Draw a square