Respuesta :

Complementary angles have sum 90°

Hence

  • 6x+2+40=90

Option A

  • 6x+42=180
  • 6(x+7)=6(30)
  • x+7=30
  • x=23
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Answer:

A)(6x + 2) + 40 = 90

Step-by-step explanation:

(for convenience, I have labelled it with alphabets)

Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means

[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]

Here:

  • [tex]\angle BFC=(6x+2)^{\circ}[/tex]
  • [tex]\angle CFD=40^{\circ}[/tex]

Hence,

The equation can be used to determine the value of x is

  • (6x + 2) + 40 = 90

In conclusion

Our answer is A)

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