Final answer:
As angle 6 is a corresponding angle to angle 3 and the lines are parallel, the measure of angle 6 is also 55 degrees.
Step-by-step explanation:
The subject of this question is mathematics, more specifically, it involves understanding the properties of parallel lines intersected by a transversal. When two parallel lines are cut by a transversal, corresponding angles are equal. Therefore, if angle 3 is given as 55 degrees, angle 6, being a corresponding angle to angle 3, will also measure 55 degrees.