What is the measure, in degrees, of the acute angle formed by the minute hand and the hour hand on a standard clock when it indicates 9:45?

The hour hand moves at (1/2)° every minute

Let the minute hand be at 0° at 9:45

At this time the hour hand would have moved (45)(1/2)° = 22.5° since 9:00

So the acute angle = 22.5°