Answer:
The value of x = 2
Step-by-step explanation:
∵ EA and ED are secant at points B and C
∴ EB × EA = EC × ED
∵ EB = x + 1 ⇒ ∵ BA = 11 ⇒ ∴ EA = x + 1 + 11 = x + 12
∵ EC = x + 4 ⇒ ∵ CD = 1 ⇒ ∴ ED = x + 4 + 1 = x + 5
∴ (x + 1) × (x + 12) = (x + 4) × (x + 5)
∴ x² + 13x + 12 = x² + 9x +20
∴ 13x - 9x = 20 - 12
∴ 4x = 8
∴ x = 8 ÷ 4 = 2
∴ The value of x = 2
