Applying the definition of an angle bisector, the measure of angle ABC is calculated as: 78 degrees.
An angle bisector divides an angle into two parts that are of equal angle measures.
Given that BF is the angle bisector of angle ABC, and the measure of one of the half angles is angle ABF = 39 degrees, then we have the following:
Measure of angle ABC = 2(measure of angle ABF)
Substitute
Measure of angle ABC = 2(39)
Measure of angle ABC = 78 degrees.
Therefore, applying the definition of an angle bisector, the measure of angle ABC is calculated as: 78 degrees.
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