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:

Answer:

there are 180 degrees in the smaller angle formed by the minute and hour hands on a clock at 12:30