Find the angle between the hour hand and the minute hand of a clock when the time is 10.25 hours i.e. 25 minutes past 10 ?a) 180°b) 165°

To find the angle between the hour hand and the minute hand of a clock at a given time, we can use the following steps:

Step 1: Calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours. So, in 1 hour, it covers 360/12 = 30 degrees. At 10.25 hours, the hour hand has covered 10.25 * 30 = 307.5 degrees.

Step 2: Calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes. So, in 1 minute, it covers 360/60 = 6 degrees. At 25 minutes past the hour, the minute hand has covered 25 * 6 = 150 degrees.

Step 3: Find the difference between the two angles. The difference between the angles covered by the hour and minute hands is |307.5 - 150| = 157.5 degrees.

So, the angle between the hour hand and the minute hand at 25 minutes past 10 is 157.5 degrees. This option is not listed in your choices.