Clockwise position and symmetry axis are 6 points (x/60)a+2a,
(x/60)a is 8 o'clock, and 2a is from 6 to 8 o'clock.
Minute hand position and symmetry axis 6 points 6a-(x/60)* 12a,
6a is from 12 to 6, (x/60)* 12a is from minute hand to 12.
Because there is no claim, so
(x/60)a+2a=6a-(x/60)* 12a
x=240/ 13
x= 18.46 15