Answer: The measure of the major arc is 68 degrees plus the measure of the small arc.
In the problem given, we don't know all the needed measurements (is there a diagram?). Therefore, we can find an expression for the answer, not the value itself.
The angles are related with the following expression.
Outside Angle = 0.5(Major Arc - Minor Arc)
Solving for the major arc gives us.
34 = 0.5(y - x)
68 = y - x
68 + x = y