The pinwheel in the image has three lines of symmetry: one vertical line and two diagonal lines. This answer only considers rotational symmetry.
There are three lines of symmetry in the pinwheel.
One vertical line: This line passes through the center of the pinwheel and divides it into two identical halves.
Two diagonal lines: These lines bisect the angle between each pair of adjacent arms and also pass through the center of the pinwheel.
It's important to note that this answer only considers the rotational symmetry of the pinwheel. If we were to consider reflectional symmetry, there would be no lines of symmetry because the pinwheel's two sides are not identical.
Therefore, there are three lines of symmetry in the pinwheel.