Yes
All three interior angles of a spherical triangle may be right angles.
8
That is an important theorem in geometry: if two lines intersect to form adjacent congruent angles, then the lines are perpendicular. Those congruent angles would be right angles.
Yes, although a triangle (in normal geometry) can only have one right angle, no more. It is possible for a triangle to have all three right angles in spherical geometry (if you were to draw the triangle on a sphere).
All right angles are congruent, and all straight angles are congruent.
A right trapezoid can have no congruent sides and two right angles.
Angles that are congruent and supplementary must be right angles.
right angles
A rhombus is a parallelogram with all four sides congruent to each other with no right angles. A square is a parallelogram with four congruent sides and four right angles.
if numbers grow too large to represent at the fixed level of precision
Not in traditional, 2 dimensional, euclidean geometry, because a triangles angles always equal 180º .However, there is a branch of Geometry that deals with a coordinate system on a sphere, instead of a plane, and in spherical geometry a triangle with three right angles is very much possible. Consider, for example, the triangle bounded by the Prime Meridian, 90o west longitude, and the equator.
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.