Question

Find the value of x

Answer 1

x = 25°

Explanation:

The secant- secant angle FGE is one half the difference of the intercepted arcs, that is

`(1)/(2)`( BD - FE ) = ∠ FGE, that is

`(1)/(2)` (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°