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