Question

What is m angle A B E?

Answer 1

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