It is not entirely clear what the question is about. The sum of the angles of a triangle on a plane surface is 180 degrees. However, on a concave surface, such as the inside of a dome, they will add to less than that and, at the appropriate curvature, they will sum to 145 degrees.
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The supplementary angle to a 145 degree angle will be a 35 degree angle because 145 + 35 = 180.
No
The supplement of a 35 degree angle would be 145 degree angle.
90 degree triangles are always similar.
All right-angles triangles. That is triangles that contain one angle at 90 degrees.