Tools and methods for treating a workpiece with a tool

It is a tool (1; 2) and a method of treating a workpiece (3) with a tool element (11) of a tool (1; 2) is provided. The tool (1; 2) comprises a determination unit (141; 1410) for detecting a proper motion of the tool (1; 2) during a measurement of an angle (α) between the tool (1; 2) and the workpiece (3) is performed, and a compensation unit (142) for compensating for an angle measurement error by the determining unit (141; 1410) detected self-motion, the angle measurement error due to the inherent movement of the tool (1; 2) was established that during the measurement of the angle (α) was performed.