Final answer:
The measure of angle ABC cannot be determined without additional information or a visual diagram. We need to know the context or other angles if it's part of a geometric figure to make a calculation.
Step-by-step explanation:
To determine the measure of angle ABC, first we need additional information. In mathematics, specifically geometry, the measure of an angle is determined by the amount of rotation from one arm of the angle to the other, measured in degrees, minutes, and seconds. A degree is divided into 60 minutes, and a minute is further divided into 60 seconds. The given options (60°, 67°, 120°, and 127°) represent potential measures for angle ABC, but without further context or diagram illustrating angle ABC, we cannot definitively select one of these values. Typically, the measure of an angle in a triangle or a geometric figure can be determined by using properties such as the sum of angles in a triangle being 180° or other geometric principles. For example, if angle ABC were part of a triangle, and we knew the measures of the other two angles, we could use that information to calculate the measure of angle ABC.