Respuesta :

mhanifa

Answer:

  • 11

Step-by-step explanation:

Use the triangle in the middle. It has interior angles:

  • F = 180 - 147 = 33
  • E = 180 - 4x
  • x

Use the sum of the three interior angles and find the value of x:

  • 33 + 180 - 4x + x = 180
  • 33 - 3x = 0
  • 3x = 33
  • x = 11

Angle F and G are Colinear pairs

  • <F=180-147=33°

Now we know

Sum of two interior angles=Exterior angle

[tex]\\ \sf\longmapsto 33+x=4x[/tex]

[tex]\\ \sf\longmapsto 4x-x=33[/tex]

[tex]\\ \sf\longmapsto 3x=33[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{33}{3}[/tex]

[tex]\\ \sf\longmapsto x=11[/tex]

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