Answer:
The measure of angle MNL is [tex]42\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem we know that
angle GNH is congruent to angle KNL
[tex]m<GNH=m<KNL[/tex] -----> by vertical angles
[tex]m<GNH=48\°[/tex]
so
[tex]m<KNL=48\°[/tex]
Find the measure of angle MNL
[tex]m<MNL+m<KNL=90\°[/tex] ------> by complementary angles
Substitute and solve for m<MNL
[tex]m<MNL+48\°=90\°[/tex]
[tex]m<MNL=90\°-48\°=42\°[/tex]
