Answer:
FGH and LJM
Step-by-step explanation:
Non-adjacent: Have no common vertex and sides.
Supplementary: Add to 180º.
Analizing the options:
EGF measures 41.
FGH measures: 124
LJM measures 56
NJP measures 49
LJK measures 90
LJN measures 56+34 = 90
There are two pairs of supplementary angles here:
FGH and LJM, since 124+56 = 180
LJK and LJN, since 90 + 90 = 180
However, LJK and LJN have the vertex J in common. Which means that they are adjacent.
So, the pair of nonadjacent supplementary angles is FGH and LJM
