Final answer:
The angle that subtends 1/3 of a circle is 120 degrees, found by dividing the total degrees in a circle (360 degrees) by 3.
Step-by-step explanation:
To find the degree measure of an angle that subtends 1/3 of a circle, we start by recognizing that a full circle is 360 degrees. So to find the measure of an angle that represents 1/3 of the circle, we can simply divide 360 by 3.
The calculation would be as follows:
- Identify the total degrees in a full circle: 360°.
- Calculate 1/3 of 360° to find the subtended angle: 360° / 3 = 120°.
Therefore, the angle that subtends 1/3 of a circle is 120°.