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
