The true statement is that m∠GHE is adjacent to ∠CHD.
How to find the true statement about the diagram?
According to the diagram Line BF is perpendicular to Line AG. Perpendicular lines forms a right angle.
The right angles formed are ∠AGB and ∠BGH.
Therefore,
m∠CHD = 90 degrees is a wrong statement because m∠CHD is not a right angle.
∠GHE is adjacent to ∠CHD is a true statement . Two angles are adjacent if they have a common side and a common vertex. The common vertex is H.
∠BGH and ∠BGA is complementary is wrong. In fact they are supplementary.
∠GHC ≅ ∠EHD is wrong . The angles are not congruent.
BF is parallel to AH is wrong. Parallel lines don't intersect.
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