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Answer:
- ΔDEH ~ ΔGEF
- ∠G = 89°
- ∠F = 22°
Step-by-step explanation:
17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...
ΔDEH ~ ΔGEF
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Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...
∠D ≅ ∠G = 89° . . . . answer to 17b
∠E ≅ ∠E = 69°
∠H ≅ ∠F = 22° . . . . answer to 17a
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Additional comment
The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.
