Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = $\frac{1}{2}$× 20 =10 degrees.