What units are used to measure angles such as latitude and longitude?

The correct choice is based on the standard method of measuring angles in the context of geographic coordinate systems. Latitude and longitude are typically expressed in degrees, arc minutes, and arc seconds.

Degrees represent the main division of measurement for angles, where a full circle is divided into 360 degrees. Each degree can be further divided into arc minutes (with 60 arc minutes making up one degree) and then divided further into arc seconds (with 60 arc seconds making up one arc minute). This division allows for high precision required for location-specific applications, such as navigation and mapping, making it vital for accurately defining positions on the Earth's surface.

While radians and decimal degrees are other ways to express angles, they are not the standard for geographical coordinates. Radians are primarily used in mathematics and physics, while decimal degrees offer a simpler representation but lack the granularity and historical context provided by the degrees, arc minutes, and arc seconds system. Gradians, although a valid unit of measure in certain fields, are not commonly used for latitude and longitude measurements. Hence, understanding geographic coordinates relies heavily on the traditional system of degrees, arc minutes, and arc seconds.