Q. If it is 09:20, then what is the angle between the hands of the clock?

Explanation by: Vinay Kumar

At 9 o’ clock, the hour hand is at 270 degrees from the vertical. In 20 minutes,
Hour hand = 270 + 20*(0.5) = 270 + 10 = 280 (The hour hand moves at 0.5 dpm)
Minute hand = 20*(6) = 120 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 280 – 120 = 160 degrees.