Answer:
Explanation:
The two triangles are similar because the corresponding angle in each is equal to the angle corresponding angles in the other.
Put in simpler language. ΔAEB ~ ΔADC by parallel lines properties. If that's the case 10/(10 + 8) = x/(x + 6)
Equation
AE/AD = AB/AC Substitute values
Solution
10/(10 + 8) = x/(x + 6) Cross Multiply
10*(x + 6) = x* (10 + 8) Combine
10*(x + 6) = 18x Remove the Brackets
10x + 60 = 18x Subtract 10x from both sides
8x = 60 Divide by 8.
x = 60/8
x = 7.5
Answer: A