ind the measure of the smaller angle formed by the hands of a clock at the ollowing time. \[ 15 \]

Step 1 ：The problem is asking for the smaller angle formed by the hands of a clock at a certain time. The time given is '15', which we will assume to mean 3 PM.

Step 2 ：At 3 PM, the minute hand of the clock is at 12, which corresponds to 0 degrees.

Step 3 ：The hour hand of the clock is at 3, which corresponds to 90 degrees.

Step 4 ：The smaller angle between the hands of the clock is the difference between the positions of the hour and minute hands.

Step 5 ：Therefore, the smaller angle formed by the hands of a clock at 3 PM is \(\boxed{90}\) degrees.