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Instructions
Directions for the next two questions: Answer the questions based on the following diagram
In the following diagram, $$\angle{ABC}$$ = 90° = $$\angle{DCH}$$ = $$\angle{DOE}$$ = $$\angle{EHK}$$ = $$\angle{FKL}$$ = $$\angle{GLM}$$ = $$\angle{LMN}$$
AB = BC = 2CH = 2CD = EH = FK = 2HK = 4KL = 2LM = MN
Solution
The length of FI is twice the length of IG.
So, the sides of the triangle FIG are in the ratio 2:1:$$\sqrt5$$.
So, angle FGO = angle FGI, which is definitely not equal to 30 or 45 or 60.
Hence, option D is the answer.
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