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°
