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Which equation can be used to determine the value of x?
(6x + 2) + 40 = 90
(6x +2) + 40 = 180
None of these
(6x + 2) = 40
All of these

Which Equation Can Be Used To Determine The Value Of X 6x 2 40 90 6x 2 40 180 None Of These 6x 2 40 All Of These class=

Sagot :

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
Nayefxidn

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)

View image Nayefx
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