By definition, two angles are called supplementary when their measures add up to 180 degrees.
Given:
angle a and b are supplementary
a = 32
Using the definition above:
[tex]\begin{gathered} a\text{ + b = 180} \\ 32\text{ + b = 180} \\ \text{Collect like terms} \\ b\text{ = 180 -32} \\ b=148^0 \end{gathered}[/tex]Answer:
b = 148