Looking at the given diagram, angle 1 and angle 142 degrees are linear pairs. It means that they are on a straight line. The sum of the angles on a straight line is 180 degrees. It means that
angle 1 + 142 = 180
Angle 1 = 180 - 142 = 38 degrees
Given that angle 1 and angle 2 are complimentary, it means that their sum is= 38 degrees