Question 1179231
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One way to solve this kind of problem -- the way I find "works" for me -- is to determine the "clockwise" angle each hand of the clock makes with 12:00.<br>
The hour hand moves at 30 degrees per hour (360 degrees in 12 hours), or 0.5 degrees per minute.  For your problem, determine how many degrees past 12:00 the hour hand has moved at 10:25 (10 hours at 30 degrees per hour, plus 25 minutes at 0.5 degrees per hour).<br>
The minute hand moves 6 degrees per minute (360 degrees in 60 minutes).  For your problem, determine how many degrees past 12:00 the minute hand has moved at 10:25.<br>
Find the difference between those two angles.  The problem asks for the obtuse angle (between 90 and 180 degrees); if that difference is greater than 180 degrees, then the number you want is 360 degrees minus that difference.<br>
You can have the pleasure of doing the calculations and finding the answer by yourself.<br>