highschoolhelp9 highschoolhelp9
  • 22-09-2017
  • Mathematics
contestada

∠E and ∠F are vertical angles with m∠E = 8x + 8 and m∠F = 2x + 38. What is the value of x?

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heere01
heere01 heere01
  • 22-09-2017
the value of x is 5....
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JeanaShupp
JeanaShupp JeanaShupp
  • 15-10-2019

Answer: The value of x = 5

Step-by-step explanation:

Given : ∠E and ∠F are vertical angles  m∠E = 8x + 8 and m∠F = 2x + 38.

We know that the vertical angles are congruent.

It means [tex]\angle{E}\cong\angle{F}[/tex]

[tex]\Rightarrow\ m\angle{E}=\ m\angle{F}[/tex]

[tex]\Rightarrow\ 8x+8=2x+38[/tex]

Subtract 2x and 8 from both sides , we get

[tex]6x=30[/tex]

Divide both sides by 6 , we get

[tex]x=5[/tex]

Hence, the value of x = 5

Answer Link

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