Following are the rules and formulae for angle measurements:

- Angle measurements
**greater than zero represent counter-clockwise measurements/rotation**. Angle measurements**lesser than zero represent clockwise measurements/rotation.** - Angle measurements/Rotations are modular 360 arithmatic. This means the angular calculations wrap around to zero after reaching \(\pm 359\)°. For e.g. a measurement/rotation of \(\pm 727\)° is actually a measurement of \(\pm 7\)°.
- Every counter-clockwise measurement/rotation has a corresponding clockwise measurement/rotation and vice versa. The following table illustrates this formula with examples:
**Measurement/Rotation Type****Corresponding measurement/rotation given by****Example**Counter-Clockwise of/by \(\theta\) Clockwise of/by \((\theta \bmod 360) - 360\) If Counter-Clockwise = 732°

\(\Rightarrow\) Actual Counter-Clockwise=\((732 \bmod 360)\)=12°

\(\Rightarrow\) Clockwise = 12° - 360° = -348°Clockwise of/by \(\theta\) Counter-Clockwise of/by \((\theta \bmod 360) + 360\) If Clockwise = -732°

\(\Rightarrow\) Actual Clockwise=\((-732 \bmod 360)\)=-12°

\(\Rightarrow\) Counter-Clockwise = -12° + 360° = 348°