At 2:48 what is the degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock? - Please help, I have 10 minutes.

204 degrees

For the hour hand :

Each hour (12 of them) covers 30 degrees     (360/12 = 30 degrees)

at 2:00  you have covered 60 degrees

     Each minute the hour hand moves  1/2 degree    (30 degrees / hour  x  1 hour/60 min = 1/2 degree)   so at 2 48   the hour hand is at    2*30  + 48 * 1/2 =84 degrees  

For the minute hand:

Each minute is 6 degrees (360 degrees   x  1 hr/ 60 min =  6 degrees / min)  so at 48 minutes the minute hand is at    48 x 6 = 288 degrees

288 - 84 = 204 degrees  

the answer is D.31 because 21+10=31

hope i helped