an angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle?

Answer 1

An angle that turns through \( \frac{1}{360} \) of a circle corresponds to a fraction of the full 360 degrees in a circle.

To find the measure of the angle in degrees, you can calculate:

\[ \text{Angle in degrees} = \frac{1}{360} \times 360 \]

Doing the calculation:

\[ \text{Angle in degrees} = 1 \text{ degree} \]

Therefore, the measure of the angle is \( 1 \) degree.