The angle between the hands of a clock , when the time is 9 O’ clock is

For every complete rotation of the minute hand, the hour hand moves by 30 degrees. At 9 PM , the angle between hour hand and minute hand is 90 degrees. When the minutes hand moves 270 degrees from its initial position and reaches the previously occupied position of the hour hand, the hour hand moves by 22.5 degrees from its initial position. Hence the angle between minute hand and hour hand is 22.5 degrees. Answer will vary by (360-theta) depending how the angle is measured i.e., Clockwise or Anticlockwise.