Sexagesimal and Decimal Angles

Decimal and sexagesimal angles are two ways of expressing angles. Decimal angles are written in degrees with a decimal point, such as 25.75°, which represents 25 degrees plus 0.75 degrees. This format is convenient for calculations as it uses the base-10 system. In contrast, sexagesimal angles use degrees, minutes, and seconds, where 1 degree equals 60 minutes, and 1 minute equals 60 seconds. For example, 25° 45′ 30″ means 25 degrees, 45 minutes, and 30 seconds. Conversion between these two formats involves turning minutes and seconds into decimal degrees or vice versa.