What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?
The minutes hand would be on the 6, and the hours hand would be halfway between 2 and 3, because 30 is half of 60.
A circle is 360 degrees, so each gap between the numbers is 30 degrees each.
$30 \cdot 3.5 = 105$, so the answer is 105 degrees