Final answer:
To find the degree measure of the angle that subtends 1/5 of a circle, divide 360 degrees by 5, resulting in an angle of 72 degrees.
Step-by-step explanation:
The question asks to find the degree measure of the angle that subtends 1/5 of a circle. By definition, a full circle has 360 degrees. If we represent the full circle as a pizza, cutting it into five equal 'slices', each slice would represent 1/5 of the circle. To find the degree measure of the angle that subtends one of these slices, we simply divide the total degrees in a circle by the number of slices.
To calculate the subtended angle, we use the formula:
Subtended Angle (in degrees) = (1/5) * Full Circle (in degrees)
Subtended Angle = (1/5) * 360°
Subtended Angle = 72°
Therefore, the angle that subtends 1/5 of a circle is 72 degrees.