Final answer:
A (1)/(9) rotation counterclockwise corresponds to an angle of 40 degrees, obtained by multiplying 360 degrees by the fractional rotation.
Step-by-step explanation:
To specify the measure of the angle in degrees for a (1)/(9) rotation counterclockwise, you need to understand that a full rotation in degrees is equal to 360 degrees. Since we are looking for a fraction of a complete rotation, we simply multiply 360 degrees by the fraction of the rotation we are interested in, in this case, (1)/(9).
To calculate:
Measure of the angle = 360 degrees × (1)/(9)
= 40 degrees.
Therefore, a (1)/(9) rotation counterclockwise is equivalent to an angle of 40 degrees.