# Subsequent rotations have the following property:

Several subsequent rotations of point M about center O are equivalent to one rotation, the magnitude of which is equal to the sum of the magnitudes of these rotations.

The angles of rotation greater than 180° (–180°) can be represented as the sum of angles formed by several subsequent rotations.

For example, a rotation angle equals 254°. This means that the angle could be formed by subsequent rotations by 180° and 74°.

For example, a rotation angle equals -254°. This means that the angle could be formed by subsequent rotations by -180° and -74°.

For example, a rotation angle equals -254°. This means that the angle could be formed by subsequent rotations by

A mobile ray (the terminal side of the angle) can complete any number of turns, which allows us to consider angles of an arbitrary value.

For example, a rotation angle equals 1080°. This means that the ray completed 3 full circles: