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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
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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