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 \(9:40\)?
This is not so hard
the big hand points to the 8 and the little hand has passed the 9 and is 2 thirds of the way to the 10.
There is 12 hours and 360 degrees on the clockface so there is 360/12 =30 degrees between each number.
Now you can work out the rest. Draw a diagram.