Angle G or HGF is 10x+12=10(7)+12=70+12=82
Explanation:
In given triangle HGF
Angle GHF is 30, Angle HGF is 10x+12 and GFD=15x+7
To find measure of HGF:
We know that exterior angle of triangle is sum of interior angles
So that Angle GFD = Angle GHF + Angle FGH
15x+7=(30)+(10x+12)
15x+7=42+10x
5x=35
x=7
Therefore, Angle G or HGF is 10x+12=10(7)+12=70+12=82