Point a moves in a circle with the origin as the center of the circle at a uniform speed in a counter clockwise direction. Given that point a starts from the positive half axis of x-axis and turns angle a (0 ＜ a ＜ 180) for 1min, reaches the third quadrant for 2min, and returns to the original position for 14min, then a =?

Point a moves in a circle with the origin as the center of the circle at a uniform speed in a counter clockwise direction. Given that point a starts from the positive half axis of x-axis and turns angle a (0 ＜ a ＜ 180) for 1min, reaches the third quadrant for 2min, and returns to the original position for 14min, then a =?

If you turn to the third quadrant in 2 minutes, that is, 1 / 2 to 3 / 4 quadrants, then a cycle is 8 / 3 to 4 minutes. If you return to the original position in 14 minutes, that is to say, a whole cycle. Then there are 4 or 5 cycles that meet the condition
If it's four, it turns 1440 / 14 degrees a minute
If it's five, it's 1880 / 14 degrees