Respuesta :

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • Solve for x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,

  • < FAE = 4x°
  • < FAB = 2x°

__________________

From the explanation, we can understand that,

Sum of the linear pair = 180°

< FAE + < FAB = 180°

4x° + 2x° = 180°

6x° = 180°

x° = 180 ÷ 6

x = 30°.

__________________

  • The value of x will be 30° (3rd option).

__________________

NOTE : Here, the lesser than symbol ( < ) stands for 'angle'.