Answer :
x + 102 = 4x (Vertically opposite angles are equal)
-x
102 = 3x
/3
x = 34 (simplified)
-x
102 = 3x
/3
x = 34 (simplified)
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 ^^