Answer: The answer is 260°.
Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.
Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.
So, angle of symmetry for the polygon is
Number of sides from car 6 to car 19 = 19 - 6 = 13.
Therefore, the angle of rotation that maps car 6 to car 19 is given by
Thus, the required angle of rotation is 260^\circ.
