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Answer:
Step-by-step explanation:
1.
The supplementary angles to ∠x are adding to 180° and are ∠HGC and ∠BGA
2.
If ∠DGE = 90° , then
∠CGD is also 90° because ∠DGE and ∠CGD are a linear pair and
∠HGC is also 90° because ∠DGE and ∠HGC are vertical angles