Pentagon Pentagon In geometry, a pentagon (from the Greek πέντε "pente" and γωνία "gonia", meaning "five" and "angle") is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting "regular pentagon" (or "star pentagon") is called a pentagram. A "regular pentagon" has Schläfli symbol {5} and interior angles are 108°. A "regular pentagon" has five lines of reflectional symmetry, and rotational symmetry of order 5 (through 72°, 144°, 216° and 288°). The diagonals of a convex regular pentagon are in the golden ratio to its
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.