A kind of uniformity of angles of triangles in space forms with respect to the curvatures of the space forms

We provide here certain curvature uniformity of angles of triangles in space forms. For two triangles in two distinct space forms with correspondingly equal sides, if their perimeter converges to 0, then the ratio of their corresponding angles converges to 1 with uniformity. This will be helpful to study properties related to angles in Alexandrov space with curvature bound.