How many degrees are in the smaller angle formed by the minute and hour hands on a clock at 12: 30? aopa math problem?

hour hands:
 the hour hand is located at position 0.
 minute hands:
 the minute hand is located in position 6.
 The angle of each position of the watch is:
 360 * (1/12) = 30
 The difference of position between the hands is:
 6-0 = 6
 Therefore the angle between hands is:
 (6) * (30) = 180 degrees:
 
 there are 180 degrees in the smaller angle formed by the minute and hour hands on a clock at 12:30

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