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
Kings of the Angles such as Wihtlæg, who defeated and killed Amleth, King of the Jutes. Under Wermund the Angles' fortress at Schleswig is said to have been captured by a branch of the Saxons known as the Myrgings, but was retaken by Offa about whom many tales were told (and who is usually referred to as Offa of Angel to distinguish him from his supposed descendent Offa of Mercia). The legends give Offa as bride a daughter of Freawine, governor of Schleswig, and upon becoming king he is said to have secured the Angles' southern border with the Saxons along the River Eider.