One of the angles formed at the intersection of lines a and b is 55 degrees. Find and write down the numbered angles.

Let’s complete the task:
When two straight lines intersect, four corners are formed. Two angles that are called adjacent and add up to 180 degrees. Two vertical angles that are equal to each other.
From the condition of the problem, one of the angles is 55 degrees, then the adjacent angle is 180 – 55 = 125 degrees. The vertical angle is a degree measure of which 55 degrees the angle is also 55 degrees. The vertical angle of an adjacent angle is a degree measure of which 125 degrees is equal to 125 degrees.
Answer: One angle is 55 degrees, the other is 125 degrees, the third is 55 degrees, and the fourth is 125 degrees.