Answer:
The correct option is: 52°, 38°
Step-by-step explanation:
If the sum of two angles is 90° , then the angles are called complementary to each other.
Here, [tex]m\angle DFG= x+5[/tex] and [tex]m\angle JKL= x-9[/tex]
Given that, [tex]\angle DFG[/tex] and [tex]\angle JKL[/tex] are complementary angles. So, the equation will be.........
[tex](x+5)+(x-9)=90\\ \\ 2x-4=90\\ \\ 2x=94\\ \\ x=\frac{94}{2}=47[/tex]
So, the measure of [tex]\angle DFG[/tex] is [tex](x+5)= (47+5)= 52\°[/tex]
and the measure of [tex]\angle JKL[/tex] is [tex](x-9)=(47-9)=38\°[/tex]
