Respuesta :

Answer is x = 5

Step-by-step explanation:

Set the two equations equal

Answer:

<CEA = 117 degrees

Step-by-step explanation:

From the given picture,

<CED  and <AEB are vertical angles

Vertical angles are always equal

[tex]14x+7=12x+17[/tex]

Now we solve for x

Subtract 12x from both sides

[tex]2x+7=+17[/tex]

Subtract 17 from both sides

[tex]2x=10[/tex]

divide both sides by 2

x=5

<CEA and <CED are linear pair

<CEA = 180 - <CED

[tex]<CEA=180-14x+7=180-14(5)+7=117[/tex]