Final answer:
The measure of an angle that turns through ¾ of a circle is 270 degrees. The provided answer options do not match this result, which may indicate an error in the question or answer choices.
Step-by-step explanation:
The question is asking for the measure of an angle that turns through ¾ of a circle. To find the measure of the angle, you multiply ¾ by the total number of degrees in a circle, which is 360 degrees. Here is how the calculation would look:
¾ of 360 degrees = ¾ × 360 = 270 degrees
Therefore, the measure of the angle that turns through ¾ of a circle is 270 degrees. This option is not listed in the choices provided, indicating there might be an error or typo in the question or the options. Normally, for such questions, you would find the closest matching answer or consider the provided options. In this case, the question seems to contain an issue as none of the options match the calculated angle of 270 degrees.