Respuesta :

Answer:

∠IGJ = 52°

Explanation:

Given,

∠EGD  =  38°,

and also,∠EGF  =  90°,

As we can see Lines EH and FI  are straight lines intersecting at G.

Due to the property of Vertically Opposite Angles applied to lines EH and FI,

∠EGF  = ∠IGH;

and,∠EGD  =  ∠JGH;

Therefore,

∠IGH  =  90°,

∠JGH  =  38°,

As we can see,

∠IGH  =  ∠IGJ  +  ∠JGH;

90°  =  ∠IGH  +  38°;

Therefore,

∠IGH  =  52°