ANSWER:
140°
The measure of angle 4 is 140°.
Explanation:
Angle 4 is an exterior angle. The exterior angle of a triangle is equivalent to the sum of the two interior angles which don't share a vertex with the respective exterior angle. This means angle 4 is equivalent to the sum of angle 1 and 2.
THEREFORE:
Angle 1 = 30°
Angle 2 = 110°
Angle 4 = Angle 1 + Angle 2
Angle 4 = 30° + 110°
Angle 4 = 140°