Use the image to answer the question.
The semicircular shape of a protractor is drawn with measurements. Four rays are superimposed on the protractor. The markings on a protractor range from 0 to 180 degrees from left to right on the outer scale. The markings on a protractor range from 0 to 180 degrees from right to left on the inner scale. Radial lines are drawn from the origin at the center of the baseline outward to form the angles marked on both the inner and outer scales. The origin is labeled as B. A ray labeled B A extends from point B along 18 degrees on the outer scale. A second ray labeled B D extends from point B along 57 degrees on the outer scale. A third ray labeled B E extends from point B along 127 degrees on the outer scale. The fourth ray labeled B C extends from point B along 158 degrees on the outer scale. The angles formed by the four rays are marked with arcs.
What is the measure of angle ABC ?
To find the measure of angle ABC, we need to determine the angle formed between rays BA and BC. The angle can be determined by subtracting the measurement of ray BA from the measurement of ray BC.
Given that ray BA extends along 18 degrees and ray BC extends along 158 degrees on the outer scale, the measure of angle ABC can be calculated as:
Measure of angle ABC = Measurement of ray BC - Measurement of ray BA
= 158 degrees - 18 degrees
= 140 degrees
Therefore, the measure of angle ABC is 140 degrees.