The angle of rotation is the measure of the angle through which a shape is rotated. It is measured in degrees and can be calculated by dividing 360 by the number of sides of the shape.

For example,

- A 4-sided shape (square) has an angle of rotation of 90 degrees (360/4).
- A 3-sided shape (triangle) has an angle of rotation of 120 degrees (360/3).
- A 2-sided shape (line segment) has an angle of rotation of 180 degrees (360/2).
- A 5-sided shape (pentagon) has an angle of rotation of 72 degrees (360/5).
- A 6-sided shape (hexagon) has an angle of rotation of 60 degrees (360/6).



The order of rotation is the number of times a shape can be rotated to coincide with its original position. It is also known as the rotational symmetry of a shape.

For example,

- A square has an order of rotation of 4 because it can be rotated four times (90 degrees each time) to coincide with its original position.
- A triangle has an order of rotation of 3 because it can be rotated three times (120 degrees each time) to coincide with its original position.
- A line segment has an order of rotation of 2 because it can be rotated twice (180 degrees each time) to coincide with its original position.
- A pentagon has an order of rotation of 5 because it can be rotated five times (72 degrees each time) to coincide with its original position.
- A hexagon has an order of rotation of 6 because it can be rotated six times (60 degrees each time) to coincide with its original position.

In conclusion, the angle of rotation and order of rotation of a shape depend on its number of sides. The angle of rotation can be calculated by dividing 360 by the number of sides, while the order of rotation is the number of times a shape can be rotated to coincide with its original position.