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10 votes

Answer:

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

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