Answer :

x + 102 = 4x (Vertically opposite angles are equal)

-x

102 = 3x

/3

x = 34 (simplified)
s1llvrya

Answer: x = 34

Step-by-step explanation:

1Recognize that vertical angles are equal, so ∠AED=∠BEC

Set up the equation (x+102) ∘=4x ∘ to represent the equality of the angles

Subtract ∘ from both sides of the equation to get 102 ∘ =3x

Divide both sides of the equation by 3 to solve for x, resulting in x = 34 .

So, the value of x is 34.

hope this helps ^^

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