Final answer:
To find the measure of angle DBC, we subtract the measure of angle ABD from the measure of angle ABC, yielding mDBC = 110° - 40°, which results in mDBC = 70°.
Step-by-step explanation:
The student has asked for help in finding the measure of angle DBC given the measures of angles ABD and ABC. To solve this, we would typically use the fact that the angles around a point sum up to 360 degrees or the angles on a straight line sum up to 180 degrees. However, with the given information, it seems like we are dealing with portions of a triangle or adjacent angles.
Without a diagram, assuming that points A, B, D, and C are connected in such a way that lines AD and BC intersect at point B, we can infer that angles ABD and DBC are adjacent and form angle ABC when combined. Thus, angle DBC can be calculated by subtracting the measure of angle ABD from the measure of angle ABC, which means mDBC = mABC - mABD. Substituting the given values:
mDBC = 110° - 40°
mDBC = 70°
Therefore, the measure of angle DBC is 70 degrees.