AMC 10A 2022 Problem 18

Let T_{k} be the transformation of the coordinate plane that first rotates the plane k degrees counterclockwise around the origin and then reflects the plane across the y-axis. What is the least positive integer n such that performing the sequence of transformations T_{1}, T_{2}, T_{3}, \ldots, T_{n} returns the point (1,0) back to itself?

Answer Choices
A. 359
B. 360
C. 719
D. 720
E. 721