You can know that it is between 7 and 8.

When the minute hand turns to 7, it is b=2π*7/ 12.

When the hour hand turns to 8, it is 2π/ 12, and when it turns to rendezvous, it is a = (2π/12) (7.778/10).

x = b+a = 7π/6+0. 13π= 1.297π