The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

Angle traced by hour hand in  $\frac{13}{3}$hrs =  $\frac{360}{12}\times \frac{13}{3}0$=  $1300$ 

Angle traced by min. hand in 20 min =  $\frac{360}{60}\times 200$ = $1200$ 

Required angle = (130 - 120)º = 10º