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Analyze the diagram below and answer the question that follows. NEED ANSWER ASAP!

Analyze the diagram below and answer the question that follows. NEED ANSWER ASAP!-example-1

1 Answer

5 votes

Answer:

∠IGJ = 52°

Step-by-step 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°

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