DDD, F F\,F and G G\,G are points on the circumference of a circle, centre OOO. HGI HGI\,HGI is a tangent to the circle at point GGG.
Angle DFG=66∘DFG = 66^\circDFG=66∘ Angle DGF=62∘DGF = 62^\circDGF=62∘ Angle IGD=x∘IGD = x^\circIGD=x∘
Find the value of xxx.
Give reasons for each stage of your working.