The reflex angle between the hands of a clock at 10:25 is?a.180 degreesb.195 degreesc.197 1/2 degreesd.192 1/2 degrees

To find the reflex angle between the hands of a clock at 10:25, we need to determine the positions of the hour and minute hands.

1. The hour hand:

   • At 10:00, the hour hand points directly at the 10 on the clock.
   • From 10:00 to 10:25, the hour hand moves a fraction of the way between the 10 and 11.
   • Since there are 12 hours on a clock, each hour mark represents 30 degrees (360 degrees divided by 12).
   • Therefore, at 10:25, the hour hand is at approximately 10 + (25/60) * 1 = 10.42, which corresponds to 10.42 * 30 = 312.6 degrees.

2. The minute hand:

   • At 25 minutes past the hour, the minute hand points directly at the 5 on the clock.
   • Since there are 60 minutes in an hour, each minute mark represents 6 degrees (360 degrees divided by 60).
   • Therefore, at 10:25, the minute hand is at 25 * 6 = 150 degrees.

3. Reflex angle calculation:

   • To find the reflex angle, we subtract the smaller angle from the larger angle.
   • In this case, the larger angle is the hour hand position (312.6 degrees) and the smaller angle is the minute hand position (150 degrees).
   • The reflex angle is 312.6 - 150 = 162.6 degrees.

Therefore, the reflex angle between the hands of a clock at 10:25 is approximately 162.6 degrees.