Sum of angles of a triangle to zero. For a spherical triangle, the sum of the angles is greater than 180° and can be up to 540°. Specifically, the sum of the angles is where "f" is the fraction of the sphere's area which is enclosed by the triangle. Note that spherical geometry does not satisfy several of Euclid's axioms (including the parallel postulate.) Angles between adjacent sides of a triangle are referred to as "interior" angles in Euclidean and other geometries. "Exterior" angles can be also defined, and the Euclidean triangle postulate can be formulated as the exterior angle theorem. One can also consider the
Angles Angles The Angles () were one of the main Germanic peoples who settled in Great Britain in the post-Roman period. They founded several of the kingdoms of Anglo-Saxon England, and their name is the root of the name England. The name comes from Anglia, a peninsula located on the Baltic shore of what is now Schleswig-Holstein. The name of the Angles may have been first recorded in Latinised form, as "Anglii", in the "Germania" of Tacitus. It is thought to derive from the name of the area they originally inhabited, the Anglia Peninsula ("Angeln" in modern German, "Angel" in Danish).