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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 ABD
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(1 point)
°
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To determine the measure of angle ABD, we need to subtract the measurement of angle BAC from the measurement of angle BCD.
The measurement of angle BAC is given as 18 degrees on the outer scale.
The measurement of angle BCD is given as 158 degrees on the outer scale.
Therefore, the measure of angle ABD is 158 degrees - 18 degrees = 140 degrees.
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To find the measure of angle ABD, we need to subtract the measurement of angle ABC from the measurement of angle CBD.
The measurement of angle ABC is 57 degrees on the outer scale.
The measurement of angle CBD is 158 degrees on the outer scale.
Therefore, the measure of angle ABD is 158 degrees - 57 degrees = 101 degrees.