Final answer:
Sophie's angle, which turns through ¼ of a circle, has a measure of 90 degrees.
Step-by-step explanation:
Sophie drew an angle that turns through ¼ of a circle. To determine the measure of Sophie's angle, we need to understand that a circle is made up of 360 degrees. Since she drew an angle that is ¼ of a circle, we simply calculate ¼ of 360 degrees.
Here's the calculation:
Therefore, the measure of Sophie's angle is 90 degrees.