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
Secretariat of the Interior States of America) and is occasionally translated to English as Ministry, Secretariat or Department of the Interior. In 1821, after the establishment of what was then the Mexican Provisional Cabinet (Junta Gubernativa Provisional), and given public urgings to organise the country's government, regulation was produced outlining the functions of a new governmental arm, then styled "The Office for Domestic and Foreign Affairs". The new agency was answerable for managing the functioning of the government in general. The first person to take up the Directorship of the Office was José Manuel de Herrera who held the post between 1821 and 1823.