Answer:
The value of x = 15.
Step-by-step explanation:
Given:
BE || CD
AE = 9
ED = 6
AB = x
BC = 10
To Find;
AB = x = ?
Solution:
BE || CD ......................{Given}
Basic Proportionality Theorem:
If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
i.e
...........{Basic Proportionality Theorem}
Substituting the given values we get
The value of x = 15.