Answer:
x = 25°
Step-by-step explanation:
The secant- secant angle FGE is one half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex]( BD - FE ) = ∠ FGE, that is
[tex]\frac{1}{2}[/tex] (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )
135 - x = 110 ( subtract 135 from both sides )
- x = - 25 ( multiply both sides by - 1 )
x = 25°
