Why 08:17?

Location of the hour hand corresponds to the time $8+\frac{17}{60}=8.78\overline3$ , so the angle from top of the clock to the hand, measured clockwise, is

$\dfrac{8.78\overline3}{12}\times360^\circ=248.5^\circ$

The angle of the minute hand with the top of the clock, measured clockwise, is

$\dfrac{17}{60}\times 360^\circ=102^\circ$

The difference between the two is $248.5-102=146.5\approx\boxed{147}$