Answer:
- ∠ABE = 60°
- ∠DBE = 40°
- ∠FBA = 47°
- y = 2
Step-by-step explanation:
The various markings tell you that ...
 GH = GI
 5x -10 = 3x
 2x = 10
 x = 5
and
 ∠ABD ≅ ∠DBC
 10y° = (8y+4)°
 2y = 4
 y = 2
The markings on GH and GI tell you that ΔGBI ≅ ΔGBH, so ...
 ∠CBE ≅ ∠DBC ≅ ∠ABD = 10y° = 20°
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A) m∠ABE = 60° . . . matches choice D
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B) m∠DBE = 40° . . . matches choice C
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C) m∠FBA = 7(5) +6(2) = 35 +12 = 47 . . . matches choice C
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D) The value of y is 2. . . . matches choice A