Short answer: 72 degrees
Longer answer: To rotate a star until it looks the same you need to make 1/5 of a complete 360 degree turn (since a star has 5 points). Sice 1/5 X 360 = 72, the answer is 72 degree angle rotation.
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The centre of rotation, the angle of rotation and, unless the angle is 180 degrees, the direction of rotation.
Measure the angle in a plane perpendicular to the axis of rotation, between the position of a fixed point at the start and end of the rotation.
No.
360 degrees.
The square has 4 sides and has rotational symmetry of order 4. Also, the angle rotation measurement is 90 degrees.