Final answer:
The measure of arc CBA is determined to be 260 degrees, calculated using the properties of circles and arcs, specifically understanding that the angle formed by a tangent and a chord is half the measure of the intercepted arc.
Step-by-step explanation:
To find the measure of arc CBA, we need to understand the properties of a circle and its arcs. Angles formed by a tangent and a chord with their intersecting point on the circle create an arc that is twice the measure of the angle. Therefore, if angle DAB measures 110 degrees, the arc DBA will measure 220 degrees because it is the intercepted arc of the angle. Now, knowing that the minor arc CB measures 120 degrees, we can find the measure of arc CBA by subtracting the measure of arc DBA from the full circle (360 degrees), and then adding the measure of minor arc CB.
360 degrees (full circle) - 220 degrees (arc DBA) + 120 degrees (minor arc CB) = 260 degrees.
Thus, the measure of arc CBA is 260 degrees.