A corner or a messenger
As a surname or rare given name, it often refers to a corner or a person from a specific angle of land. It is also occasionally used as a variant or misspelling of the name Angel, which is derived from the Greek word for messenger. In a historical context, it relates to the Angles, a Germanic tribe that settled in Great Britain.
Less common today
Angle isn't in the latest US Top 1000. It last peaked at #4,155 in 1990.
US births per 5-year period, 1990βpresent (SSA data).