Answer:
The answer is the option
[tex]m<FGH=52\°[/tex]
Step-by-step explanation:
we know that
The figure shown is a Kite
In a Kite the main diagonal bisects a pair of opposite angles (angle G and angle E)
so
[tex]4x+2=6x-10[/tex]
Solve for x
[tex]6x-4x=2+10\\2x=12\\x=6\°[/tex]
Find the measure of angle FGH
[tex]m<FGH=(4x+2)+(6x-10)[/tex]
substitute the value of x
[tex]m<FGH=(10x-8)=10*6-8=52\°[/tex]
