Step-by-step explanation:
angle (JIF) = 2x°
so angle (FIG) = (180 - 2x)°
Also , IK || EH
So , angle KIG = angle IGF = x°
angle (EFI) = 3x°
angle (IFG) = (180 - 3x)°
In triangle IFG ,
angle IGF + angle IFG + angle FIG = 180°
=> x + 180 - 3x + 180 - 2x = 180
=> 360 - 4x = 180
=> 4x = 360 - 180 = 180
=> x = 180 / 4 = 45°
