2 years ago

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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