Looking at the diagram, there is a transversal cutting across 2 parallel lines.
Angle 2 and angle 6 lie in similar position on the same side of the transversal. This means that they are corresponding angles. Corresponding angles are equal.
Given that angle 2 = 32 degrees, then angle 6 = angle 2 = 32 degrees
angle 5 and angle 6 are linear pairs. They lie on a straight line. the sum of the angles on a straight line is 180 degrees. It means that
angle 5 + angle 6 = 180
angle 5 + 32 = 180
angle 5 = 180 - 32
angle 5 = 148 degrees