What is the degree measure of the acute angle formed by the hands of a clock at $3:30$?
Let 12 o'clock represent 0°....let the hands advance in a positive angular direction
At 3 o'clock the hour hand is at 90° and the minute hand is at 0°
The hour hand moves 15° more in 30 minutes.....so it is at 105° at 3;30
And the minute hand is at180° at 3:30
So....the acute angle is 180 - 105 = 75°