What is the angle of the hands of the clock at 9:30?

At 9.30 a.m. the minute hand points to 6 o’clock, and the hour hand is located exactly in the middle of the arc between 9 and 10 o’clock.

Thus, the angle between the minute and hour hands at 9:30 am corresponds to an arc of 3.5 o’clock on the dial.

A full circle on the 12 o’clock dial corresponds to an angle of 360 °, we find the value of the angle corresponding to 3.5 hours:

3.5 * 360 ° / 12 = 3.5 * 30 ° = 105 °.

Answer: 105 °.