Final Answer:
The values of the exterior angles measured by one second theodolite are 0.3 seconds of arc.
Step-by-step explanation:
A theodolite measures angles precisely, with one second referring to a unit of angular measurement. In this context, the values of the exterior angles measured by a one-second theodolite are represented in terms of angular measurement precision, typically 0.3 seconds of arc. This level of precision, denoted as seconds of arc, signifies a finer degree of accuracy when measuring angles, especially in surveying or engineering applications.
The theodolite's accuracy and capability to measure angles to this precision of 0.3 seconds of arc ensure meticulousness in determining exterior angles of polygons or in various spatial measurements, aiding in tasks where minute angular distinctions are crucial for precision and accuracy in calculations and designs.
Correct answer: 0.3 seconds of arc