Answer:
EF = 6
Step-by-step explanation:
Using the secant- secant power theorem, that is
GF × GE = GH × GS
4(4 + 2x) = 5(5 + x) ← distribute both sides
16 + 8x = 25 + 5x ( subtract 5x from both sides )
16 + 3x = 25 ( subtract 16 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Then
EF = 2x = 2 × 3 = 6
