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klemol [59]
2 years ago
13

What is m angle A B E?

Mathematics
1 answer:
sattari [20]2 years ago
6 0

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°

__

A) m∠ABE = 60° . . . matches choice D

__

B) m∠DBE = 40° . . . matches choice C

__

C) m∠FBA = 7(5) +6(2) = 35 +12 = 47 . . . matches choice C

__

D) The value of y is 2. . . . matches choice A

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