Answer:
x = 3.2
Step-by-step explanation:
Since, intercepts made by parallel lines on the transversals are in proportion.
[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]
AB = BC.... (given)
[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]
From equations (1) & (2)
[tex] 1 =\frac{EF}{FG}[/tex]
[tex] {FG}={EF}[/tex]
Therefore,
7x - 9 = 2x + 7
7x - 2x = 9 + 7
5x = 16
x = 16/5
x = 3.2
